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Finding the Fourth Proportional to 531.48, 797.30 and 207.06

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Solution

The fourth proportional to 531.48, 797.30 and 207.06 is: 310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.48 : 797.30 = 207.06 : x
  2. Step 2: Convert to fraction form
    531.48/797.30 = 207.06/x
  3. Step 3: Cross multiply
    531.48x = 797.30 × 207.06
  4. Step 4: Simplify right side
    531.48x = 165,088.94
  5. Step 5: Solve for x
    x = 165,088.94/531.48
  6. Step 6: Final answer
    x = 310.62

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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.