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Finding the Fourth Proportional to 657.67, 907.73 and 409.18

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Solution

The fourth proportional to 657.67, 907.73 and 409.18 is: 564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.67 : 907.73 = 409.18 : x
  2. Step 2: Convert to fraction form
    657.67/907.73 = 409.18/x
  3. Step 3: Cross multiply
    657.67x = 907.73 × 409.18
  4. Step 4: Simplify right side
    657.67x = 371,423.72
  5. Step 5: Solve for x
    x = 371,423.72/657.67
  6. Step 6: Final answer
    x = 564.76

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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.