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Finding the Fourth Proportional to 657.32, 907.00 and 391.84

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Solution

The fourth proportional to 657.32, 907.00 and 391.84 is: 540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.32 : 907.00 = 391.84 : x
  2. Step 2: Convert to fraction form
    657.32/907.00 = 391.84/x
  3. Step 3: Cross multiply
    657.32x = 907.00 × 391.84
  4. Step 4: Simplify right side
    657.32x = 355,395.63
  5. Step 5: Solve for x
    x = 355,395.63/657.32
  6. Step 6: Final answer
    x = 540.68

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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.