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Finding the Fourth Proportional to 657.72, 907.61 and 480.74

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Solution

The fourth proportional to 657.72, 907.61 and 480.74 is: 663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.72 : 907.61 = 480.74 : x
  2. Step 2: Convert to fraction form
    657.72/907.61 = 480.74/x
  3. Step 3: Cross multiply
    657.72x = 907.61 × 480.74
  4. Step 4: Simplify right side
    657.72x = 436,317.49
  5. Step 5: Solve for x
    x = 436,317.49/657.72
  6. Step 6: Final answer
    x = 663.38

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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.