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Finding the Fourth Proportional to 531.18, 795.72 and 256.74

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Solution

The fourth proportional to 531.18, 795.72 and 256.74 is: 384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.18 : 795.72 = 256.74 : x
  2. Step 2: Convert to fraction form
    531.18/795.72 = 256.74/x
  3. Step 3: Cross multiply
    531.18x = 795.72 × 256.74
  4. Step 4: Simplify right side
    531.18x = 204,293.15
  5. Step 5: Solve for x
    x = 204,293.15/531.18
  6. Step 6: Final answer
    x = 384.60

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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.