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Finding the Fourth Proportional to 492.57, 680.58 and 430.30

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Solution

The fourth proportional to 492.57, 680.58 and 430.30 is: 594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.57 : 680.58 = 430.30 : x
  2. Step 2: Convert to fraction form
    492.57/680.58 = 430.30/x
  3. Step 3: Cross multiply
    492.57x = 680.58 × 430.30
  4. Step 4: Simplify right side
    492.57x = 292,853.57
  5. Step 5: Solve for x
    x = 292,853.57/492.57
  6. Step 6: Final answer
    x = 594.55

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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.