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Finding the Fourth Proportional to 332.24, 459.72 and 288.72

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Solution

The fourth proportional to 332.24, 459.72 and 288.72 is: 399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.24 : 459.72 = 288.72 : x
  2. Step 2: Convert to fraction form
    332.24/459.72 = 288.72/x
  3. Step 3: Cross multiply
    332.24x = 459.72 × 288.72
  4. Step 4: Simplify right side
    332.24x = 132,730.36
  5. Step 5: Solve for x
    x = 132,730.36/332.24
  6. Step 6: Final answer
    x = 399.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.