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Finding the Fourth Proportional to 462.07, 693.18 and 230.91

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Solution

The fourth proportional to 462.07, 693.18 and 230.91 is: 346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.07 : 693.18 = 230.91 : x
  2. Step 2: Convert to fraction form
    462.07/693.18 = 230.91/x
  3. Step 3: Cross multiply
    462.07x = 693.18 × 230.91
  4. Step 4: Simplify right side
    462.07x = 160,062.19
  5. Step 5: Solve for x
    x = 160,062.19/462.07
  6. Step 6: Final answer
    x = 346.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.