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Finding the Fourth Proportional to 697.71, 1,046.58 and 332.31

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Solution

The fourth proportional to 697.71, 1,046.58 and 332.31 is: 498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.71 : 1,046.58 = 332.31 : x
  2. Step 2: Convert to fraction form
    697.71/1,046.58 = 332.31/x
  3. Step 3: Cross multiply
    697.71x = 1,046.58 × 332.31
  4. Step 4: Simplify right side
    697.71x = 347,783.77
  5. Step 5: Solve for x
    x = 347,783.77/697.71
  6. Step 6: Final answer
    x = 498.47

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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.