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Finding the Fourth Proportional to 531.84, 798.16 and 207.02

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Solution

The fourth proportional to 531.84, 798.16 and 207.02 is: 310.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.84 : 798.16 = 207.02 : x
  2. Step 2: Convert to fraction form
    531.84/798.16 = 207.02/x
  3. Step 3: Cross multiply
    531.84x = 798.16 × 207.02
  4. Step 4: Simplify right side
    531.84x = 165,235.08
  5. Step 5: Solve for x
    x = 165,235.08/531.84
  6. Step 6: Final answer
    x = 310.69

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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.