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Finding the Fourth Proportional to 429.01, 592.19 and 312.91

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Solution

The fourth proportional to 429.01, 592.19 and 312.91 is: 431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.01 : 592.19 = 312.91 : x
  2. Step 2: Convert to fraction form
    429.01/592.19 = 312.91/x
  3. Step 3: Cross multiply
    429.01x = 592.19 × 312.91
  4. Step 4: Simplify right side
    429.01x = 185,302.17
  5. Step 5: Solve for x
    x = 185,302.17/429.01
  6. Step 6: Final answer
    x = 431.93

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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.