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Finding the Fourth Proportional to 531.32, 795.74 and 270.50

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Solution

The fourth proportional to 531.32, 795.74 and 270.50 is: 405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.32 : 795.74 = 270.50 : x
  2. Step 2: Convert to fraction form
    531.32/795.74 = 270.50/x
  3. Step 3: Cross multiply
    531.32x = 795.74 × 270.50
  4. Step 4: Simplify right side
    531.32x = 215,242.34
  5. Step 5: Solve for x
    x = 215,242.34/531.32
  6. Step 6: Final answer
    x = 405.11

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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.