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Finding the Fourth Proportional to 466.08, 695.32 and 432.94

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Solution

The fourth proportional to 466.08, 695.32 and 432.94 is: 645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.08 : 695.32 = 432.94 : x
  2. Step 2: Convert to fraction form
    466.08/695.32 = 432.94/x
  3. Step 3: Cross multiply
    466.08x = 695.32 × 432.94
  4. Step 4: Simplify right side
    466.08x = 301,031.63
  5. Step 5: Solve for x
    x = 301,031.63/466.08
  6. Step 6: Final answer
    x = 645.87

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