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Finding the Fourth Proportional to 466.04, 695.64 and 432.20

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Solution

The fourth proportional to 466.04, 695.64 and 432.20 is: 645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.04 : 695.64 = 432.20 : x
  2. Step 2: Convert to fraction form
    466.04/695.64 = 432.20/x
  3. Step 3: Cross multiply
    466.04x = 695.64 × 432.20
  4. Step 4: Simplify right side
    466.04x = 300,655.61
  5. Step 5: Solve for x
    x = 300,655.61/466.04
  6. Step 6: Final answer
    x = 645.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.