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Finding the Fourth Proportional to 430.38, 592.92 and 419.85

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Solution

The fourth proportional to 430.38, 592.92 and 419.85 is: 578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.38 : 592.92 = 419.85 : x
  2. Step 2: Convert to fraction form
    430.38/592.92 = 419.85/x
  3. Step 3: Cross multiply
    430.38x = 592.92 × 419.85
  4. Step 4: Simplify right side
    430.38x = 248,937.46
  5. Step 5: Solve for x
    x = 248,937.46/430.38
  6. Step 6: Final answer
    x = 578.41

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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.