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Finding the Fourth Proportional to 580.80, 870.58 and 215.35

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Solution

The fourth proportional to 580.80, 870.58 and 215.35 is: 322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.80 : 870.58 = 215.35 : x
  2. Step 2: Convert to fraction form
    580.80/870.58 = 215.35/x
  3. Step 3: Cross multiply
    580.80x = 870.58 × 215.35
  4. Step 4: Simplify right side
    580.80x = 187,479.40
  5. Step 5: Solve for x
    x = 187,479.40/580.80
  6. Step 6: Final answer
    x = 322.80

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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.