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Finding the Fourth Proportional to 651.51, 899.51 and 477.63

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Solution

The fourth proportional to 651.51, 899.51 and 477.63 is: 659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.51 : 899.51 = 477.63 : x
  2. Step 2: Convert to fraction form
    651.51/899.51 = 477.63/x
  3. Step 3: Cross multiply
    651.51x = 899.51 × 477.63
  4. Step 4: Simplify right side
    651.51x = 429,630.57
  5. Step 5: Solve for x
    x = 429,630.57/651.51
  6. Step 6: Final answer
    x = 659.44

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.