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Finding the Fourth Proportional to 580.64, 870.98 and 210.47

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Solution

The fourth proportional to 580.64, 870.98 and 210.47 is: 315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.64 : 870.98 = 210.47 : x
  2. Step 2: Convert to fraction form
    580.64/870.98 = 210.47/x
  3. Step 3: Cross multiply
    580.64x = 870.98 × 210.47
  4. Step 4: Simplify right side
    580.64x = 183,309.75
  5. Step 5: Solve for x
    x = 183,309.75/580.64
  6. Step 6: Final answer
    x = 315.71

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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.