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Finding the Fourth Proportional to 657.69, 907.66 and 409.02

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Solution

The fourth proportional to 657.69, 907.66 and 409.02 is: 564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.69 : 907.66 = 409.02 : x
  2. Step 2: Convert to fraction form
    657.69/907.66 = 409.02/x
  3. Step 3: Cross multiply
    657.69x = 907.66 × 409.02
  4. Step 4: Simplify right side
    657.69x = 371,245.90
  5. Step 5: Solve for x
    x = 371,245.90/657.69
  6. Step 6: Final answer
    x = 564.47

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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.