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Finding the Fourth Proportional to 981.63, 1,472.64 and 332.34

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Solution

The fourth proportional to 981.63, 1,472.64 and 332.34 is: 498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.63 : 1,472.64 = 332.34 : x
  2. Step 2: Convert to fraction form
    981.63/1,472.64 = 332.34/x
  3. Step 3: Cross multiply
    981.63x = 1,472.64 × 332.34
  4. Step 4: Simplify right side
    981.63x = 489,417.18
  5. Step 5: Solve for x
    x = 489,417.18/981.63
  6. Step 6: Final answer
    x = 498.58

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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.