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Finding the Fourth Proportional to 581.20, 870.64 and 292.80

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Solution

The fourth proportional to 581.20, 870.64 and 292.80 is: 438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.20 : 870.64 = 292.80 : x
  2. Step 2: Convert to fraction form
    581.20/870.64 = 292.80/x
  3. Step 3: Cross multiply
    581.20x = 870.64 × 292.80
  4. Step 4: Simplify right side
    581.20x = 254,923.39
  5. Step 5: Solve for x
    x = 254,923.39/581.20
  6. Step 6: Final answer
    x = 438.62

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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.