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Finding the Fourth Proportional to 284.64, 424.61 and 241.58

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Solution

The fourth proportional to 284.64, 424.61 and 241.58 is: 360.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.64 : 424.61 = 241.58 : x
  2. Step 2: Convert to fraction form
    284.64/424.61 = 241.58/x
  3. Step 3: Cross multiply
    284.64x = 424.61 × 241.58
  4. Step 4: Simplify right side
    284.64x = 102,573.95
  5. Step 5: Solve for x
    x = 102,573.95/284.64
  6. Step 6: Final answer
    x = 360.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.