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Finding the Fourth Proportional to 657.85, 907.86 and 392.26

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Solution

The fourth proportional to 657.85, 907.86 and 392.26 is: 541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.85 : 907.86 = 392.26 : x
  2. Step 2: Convert to fraction form
    657.85/907.86 = 392.26/x
  3. Step 3: Cross multiply
    657.85x = 907.86 × 392.26
  4. Step 4: Simplify right side
    657.85x = 356,117.16
  5. Step 5: Solve for x
    x = 356,117.16/657.85
  6. Step 6: Final answer
    x = 541.33

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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.