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Finding the Fourth Proportional to 332.69, 498.51 and 284.40

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Solution

The fourth proportional to 332.69, 498.51 and 284.40 is: 426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.69 : 498.51 = 284.40 : x
  2. Step 2: Convert to fraction form
    332.69/498.51 = 284.40/x
  3. Step 3: Cross multiply
    332.69x = 498.51 × 284.40
  4. Step 4: Simplify right side
    332.69x = 141,776.24
  5. Step 5: Solve for x
    x = 141,776.24/332.69
  6. Step 6: Final answer
    x = 426.16

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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.