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Finding the Fourth Proportional to 407.53, 562.33 and 230.46

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Solution

The fourth proportional to 407.53, 562.33 and 230.46 is: 318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.53 : 562.33 = 230.46 : x
  2. Step 2: Convert to fraction form
    407.53/562.33 = 230.46/x
  3. Step 3: Cross multiply
    407.53x = 562.33 × 230.46
  4. Step 4: Simplify right side
    407.53x = 129,594.57
  5. Step 5: Solve for x
    x = 129,594.57/407.53
  6. Step 6: Final answer
    x = 318.00

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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.