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Finding the Fourth Proportional to 469.20, 705.14 and 307.88

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Solution

The fourth proportional to 469.20, 705.14 and 307.88 is: 462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.20 : 705.14 = 307.88 : x
  2. Step 2: Convert to fraction form
    469.20/705.14 = 307.88/x
  3. Step 3: Cross multiply
    469.20x = 705.14 × 307.88
  4. Step 4: Simplify right side
    469.20x = 217,098.50
  5. Step 5: Solve for x
    x = 217,098.50/469.20
  6. Step 6: Final answer
    x = 462.70

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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.