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Finding the Fourth Proportional to 870.12, 1,305.36 and 322.35

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Solution

The fourth proportional to 870.12, 1,305.36 and 322.35 is: 483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.12 : 1,305.36 = 322.35 : x
  2. Step 2: Convert to fraction form
    870.12/1,305.36 = 322.35/x
  3. Step 3: Cross multiply
    870.12x = 1,305.36 × 322.35
  4. Step 4: Simplify right side
    870.12x = 420,782.80
  5. Step 5: Solve for x
    x = 420,782.80/870.12
  6. Step 6: Final answer
    x = 483.59

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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.