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Finding the Fourth Proportional to 617.56, 852.51 and 477.34

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Solution

The fourth proportional to 617.56, 852.51 and 477.34 is: 658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.56 : 852.51 = 477.34 : x
  2. Step 2: Convert to fraction form
    617.56/852.51 = 477.34/x
  3. Step 3: Cross multiply
    617.56x = 852.51 × 477.34
  4. Step 4: Simplify right side
    617.56x = 406,937.12
  5. Step 5: Solve for x
    x = 406,937.12/617.56
  6. Step 6: Final answer
    x = 658.94

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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.