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Finding the Fourth Proportional to 657.96, 907.76 and 409.16

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Solution

The fourth proportional to 657.96, 907.76 and 409.16 is: 564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.96 : 907.76 = 409.16 : x
  2. Step 2: Convert to fraction form
    657.96/907.76 = 409.16/x
  3. Step 3: Cross multiply
    657.96x = 907.76 × 409.16
  4. Step 4: Simplify right side
    657.96x = 371,419.08
  5. Step 5: Solve for x
    x = 371,419.08/657.96
  6. Step 6: Final answer
    x = 564.50

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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.