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Finding the Fourth Proportional to 557.47, 836.71 and 297.70

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Solution

The fourth proportional to 557.47, 836.71 and 297.70 is: 446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.47 : 836.71 = 297.70 : x
  2. Step 2: Convert to fraction form
    557.47/836.71 = 297.70/x
  3. Step 3: Cross multiply
    557.47x = 836.71 × 297.70
  4. Step 4: Simplify right side
    557.47x = 249,088.57
  5. Step 5: Solve for x
    x = 249,088.57/557.47
  6. Step 6: Final answer
    x = 446.82

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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.