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Finding the Fourth Proportional to 870.71, 1,306.44 and 322.77

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Solution

The fourth proportional to 870.71, 1,306.44 and 322.77 is: 484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.71 : 1,306.44 = 322.77 : x
  2. Step 2: Convert to fraction form
    870.71/1,306.44 = 322.77/x
  3. Step 3: Cross multiply
    870.71x = 1,306.44 × 322.77
  4. Step 4: Simplify right side
    870.71x = 421,679.64
  5. Step 5: Solve for x
    x = 421,679.64/870.71
  6. Step 6: Final answer
    x = 484.30

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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.