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Finding the Fourth Proportional to 430.38, 592.92 and 299.16

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Solution

The fourth proportional to 430.38, 592.92 and 299.16 is: 412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.38 : 592.92 = 299.16 : x
  2. Step 2: Convert to fraction form
    430.38/592.92 = 299.16/x
  3. Step 3: Cross multiply
    430.38x = 592.92 × 299.16
  4. Step 4: Simplify right side
    430.38x = 177,377.95
  5. Step 5: Solve for x
    x = 177,377.95/430.38
  6. Step 6: Final answer
    x = 412.14

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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.