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Finding the Fourth Proportional to 657.48, 907.76 and 424.76

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Solution

The fourth proportional to 657.48, 907.76 and 424.76 is: 586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.48 : 907.76 = 424.76 : x
  2. Step 2: Convert to fraction form
    657.48/907.76 = 424.76/x
  3. Step 3: Cross multiply
    657.48x = 907.76 × 424.76
  4. Step 4: Simplify right side
    657.48x = 385,580.14
  5. Step 5: Solve for x
    x = 385,580.14/657.48
  6. Step 6: Final answer
    x = 586.45

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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.