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Finding the Fourth Proportional to 870.17, 1,304.98 and 285.01

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Solution

The fourth proportional to 870.17, 1,304.98 and 285.01 is: 427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.17 : 1,304.98 = 285.01 : x
  2. Step 2: Convert to fraction form
    870.17/1,304.98 = 285.01/x
  3. Step 3: Cross multiply
    870.17x = 1,304.98 × 285.01
  4. Step 4: Simplify right side
    870.17x = 371,932.56
  5. Step 5: Solve for x
    x = 371,932.56/870.17
  6. Step 6: Final answer
    x = 427.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.