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Finding the Fourth Proportional to 310.16, 465.29 and 288.42

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Solution

The fourth proportional to 310.16, 465.29 and 288.42 is: 432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.16 : 465.29 = 288.42 : x
  2. Step 2: Convert to fraction form
    310.16/465.29 = 288.42/x
  3. Step 3: Cross multiply
    310.16x = 465.29 × 288.42
  4. Step 4: Simplify right side
    310.16x = 134,197.50
  5. Step 5: Solve for x
    x = 134,197.50/310.16
  6. Step 6: Final answer
    x = 432.68

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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.