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Finding the Fourth Proportional to 309.66, 463.77 and 282.32

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Solution

The fourth proportional to 309.66, 463.77 and 282.32 is: 422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.66 : 463.77 = 282.32 : x
  2. Step 2: Convert to fraction form
    309.66/463.77 = 282.32/x
  3. Step 3: Cross multiply
    309.66x = 463.77 × 282.32
  4. Step 4: Simplify right side
    309.66x = 130,931.55
  5. Step 5: Solve for x
    x = 130,931.55/309.66
  6. Step 6: Final answer
    x = 422.82

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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.