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Finding the Fourth Proportional to 657.86, 907.64 and 409.18

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Solution

The fourth proportional to 657.86, 907.64 and 409.18 is: 564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.86 : 907.64 = 409.18 : x
  2. Step 2: Convert to fraction form
    657.86/907.64 = 409.18/x
  3. Step 3: Cross multiply
    657.86x = 907.64 × 409.18
  4. Step 4: Simplify right side
    657.86x = 371,388.14
  5. Step 5: Solve for x
    x = 371,388.14/657.86
  6. Step 6: Final answer
    x = 564.54

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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.