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Finding the Fourth Proportional to 557.42, 836.06 and 297.95

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Solution

The fourth proportional to 557.42, 836.06 and 297.95 is: 446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.42 : 836.06 = 297.95 : x
  2. Step 2: Convert to fraction form
    557.42/836.06 = 297.95/x
  3. Step 3: Cross multiply
    557.42x = 836.06 × 297.95
  4. Step 4: Simplify right side
    557.42x = 249,098.41
  5. Step 5: Solve for x
    x = 249,098.41/557.42
  6. Step 6: Final answer
    x = 446.88

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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.