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Finding the Fourth Proportional to 580.64, 870.24 and 256.02

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Solution

The fourth proportional to 580.64, 870.24 and 256.02 is: 383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.64 : 870.24 = 256.02 : x
  2. Step 2: Convert to fraction form
    580.64/870.24 = 256.02/x
  3. Step 3: Cross multiply
    580.64x = 870.24 × 256.02
  4. Step 4: Simplify right side
    580.64x = 222,798.84
  5. Step 5: Solve for x
    x = 222,798.84/580.64
  6. Step 6: Final answer
    x = 383.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.