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Finding the Fourth Proportional to 870.34, 1,305.91 and 322.71

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Solution

The fourth proportional to 870.34, 1,305.91 and 322.71 is: 484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.34 : 1,305.91 = 322.71 : x
  2. Step 2: Convert to fraction form
    870.34/1,305.91 = 322.71/x
  3. Step 3: Cross multiply
    870.34x = 1,305.91 × 322.71
  4. Step 4: Simplify right side
    870.34x = 421,430.22
  5. Step 5: Solve for x
    x = 421,430.22/870.34
  6. Step 6: Final answer
    x = 484.21

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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.