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Finding the Fourth Proportional to 657.55, 907.35 and 408.78

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Solution

The fourth proportional to 657.55, 907.35 and 408.78 is: 564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.55 : 907.35 = 408.78 : x
  2. Step 2: Convert to fraction form
    657.55/907.35 = 408.78/x
  3. Step 3: Cross multiply
    657.55x = 907.35 × 408.78
  4. Step 4: Simplify right side
    657.55x = 370,905.00
  5. Step 5: Solve for x
    x = 370,905.00/657.55
  6. Step 6: Final answer
    x = 564.07

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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.