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Finding the Fourth Proportional to 531.30, 793.10 and 466.50

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Solution

The fourth proportional to 531.30, 793.10 and 466.50 is: 696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.30 : 793.10 = 466.50 : x
  2. Step 2: Convert to fraction form
    531.30/793.10 = 466.50/x
  3. Step 3: Cross multiply
    531.30x = 793.10 × 466.50
  4. Step 4: Simplify right side
    531.30x = 369,978.82
  5. Step 5: Solve for x
    x = 369,978.82/531.30
  6. Step 6: Final answer
    x = 696.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.