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Finding the Fourth Proportional to 429.14, 592.16 and 312.50

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Solution

The fourth proportional to 429.14, 592.16 and 312.50 is: 431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.14 : 592.16 = 312.50 : x
  2. Step 2: Convert to fraction form
    429.14/592.16 = 312.50/x
  3. Step 3: Cross multiply
    429.14x = 592.16 × 312.50
  4. Step 4: Simplify right side
    429.14x = 185,050
  5. Step 5: Solve for x
    x = 185,050/429.14
  6. Step 6: Final answer
    x = 431.21

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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.