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Finding the Fourth Proportional to 429.12, 592.50 and 282.18

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Solution

The fourth proportional to 429.12, 592.50 and 282.18 is: 389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.12 : 592.50 = 282.18 : x
  2. Step 2: Convert to fraction form
    429.12/592.50 = 282.18/x
  3. Step 3: Cross multiply
    429.12x = 592.50 × 282.18
  4. Step 4: Simplify right side
    429.12x = 167,191.65
  5. Step 5: Solve for x
    x = 167,191.65/429.12
  6. Step 6: Final answer
    x = 389.62

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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.