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Finding the Fourth Proportional to 446.31, 615.75 and 259.74

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Solution

The fourth proportional to 446.31, 615.75 and 259.74 is: 358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.31 : 615.75 = 259.74 : x
  2. Step 2: Convert to fraction form
    446.31/615.75 = 259.74/x
  3. Step 3: Cross multiply
    446.31x = 615.75 × 259.74
  4. Step 4: Simplify right side
    446.31x = 159,934.91
  5. Step 5: Solve for x
    x = 159,934.91/446.31
  6. Step 6: Final answer
    x = 358.35

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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.