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Finding the Fourth Proportional to 955, 1,432.64 and 434.91

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Solution

The fourth proportional to 955, 1,432.64 and 434.91 is: 652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    955 : 1,432.64 = 434.91 : x
  2. Step 2: Convert to fraction form
    955/1,432.64 = 434.91/x
  3. Step 3: Cross multiply
    955x = 1,432.64 × 434.91
  4. Step 4: Simplify right side
    955x = 623,069.46
  5. Step 5: Solve for x
    x = 623,069.46/955
  6. Step 6: Final answer
    x = 652.43

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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.