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Finding the Fourth Proportional to 871.12, 1,306.44 and 358

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Solution

The fourth proportional to 871.12, 1,306.44 and 358 is: 536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.12 : 1,306.44 = 358 : x
  2. Step 2: Convert to fraction form
    871.12/1,306.44 = 358/x
  3. Step 3: Cross multiply
    871.12x = 1,306.44 × 358
  4. Step 4: Simplify right side
    871.12x = 467,705.52
  5. Step 5: Solve for x
    x = 467,705.52/871.12
  6. Step 6: Final answer
    x = 536.90

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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.