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Finding the Fourth Proportional to 575.74, 864.21 and 432.37

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Solution

The fourth proportional to 575.74, 864.21 and 432.37 is: 649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.74 : 864.21 = 432.37 : x
  2. Step 2: Convert to fraction form
    575.74/864.21 = 432.37/x
  3. Step 3: Cross multiply
    575.74x = 864.21 × 432.37
  4. Step 4: Simplify right side
    575.74x = 373,654.16
  5. Step 5: Solve for x
    x = 373,654.16/575.74
  6. Step 6: Final answer
    x = 649.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.