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Finding the Fourth Proportional to 847.48, 1,270.46 and 291.88

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Solution

The fourth proportional to 847.48, 1,270.46 and 291.88 is: 437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.48 : 1,270.46 = 291.88 : x
  2. Step 2: Convert to fraction form
    847.48/1,270.46 = 291.88/x
  3. Step 3: Cross multiply
    847.48x = 1,270.46 × 291.88
  4. Step 4: Simplify right side
    847.48x = 370,822.50
  5. Step 5: Solve for x
    x = 370,822.50/847.48
  6. Step 6: Final answer
    x = 437.56

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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.