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Finding the Fourth Proportional to 462.52, 692.86 and 230.70

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Solution

The fourth proportional to 462.52, 692.86 and 230.70 is: 345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.52 : 692.86 = 230.70 : x
  2. Step 2: Convert to fraction form
    462.52/692.86 = 230.70/x
  3. Step 3: Cross multiply
    462.52x = 692.86 × 230.70
  4. Step 4: Simplify right side
    462.52x = 159,838.18
  5. Step 5: Solve for x
    x = 159,838.18/462.52
  6. Step 6: Final answer
    x = 345.58

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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.