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Finding the Fourth Proportional to 540.66, 747 and 431.07

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Solution

The fourth proportional to 540.66, 747 and 431.07 is: 595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.66 : 747 = 431.07 : x
  2. Step 2: Convert to fraction form
    540.66/747 = 431.07/x
  3. Step 3: Cross multiply
    540.66x = 747 × 431.07
  4. Step 4: Simplify right side
    540.66x = 322,009.29
  5. Step 5: Solve for x
    x = 322,009.29/540.66
  6. Step 6: Final answer
    x = 595.59

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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.