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Finding the Fourth Proportional to 332.02, 497.75 and 288.58

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Solution

The fourth proportional to 332.02, 497.75 and 288.58 is: 432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.02 : 497.75 = 288.58 : x
  2. Step 2: Convert to fraction form
    332.02/497.75 = 288.58/x
  3. Step 3: Cross multiply
    332.02x = 497.75 × 288.58
  4. Step 4: Simplify right side
    332.02x = 143,640.70
  5. Step 5: Solve for x
    x = 143,640.70/332.02
  6. Step 6: Final answer
    x = 432.63

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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.