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Finding the Fourth Proportional to 557.94, 837.08 and 314.40

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Solution

The fourth proportional to 557.94, 837.08 and 314.40 is: 471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.94 : 837.08 = 314.40 : x
  2. Step 2: Convert to fraction form
    557.94/837.08 = 314.40/x
  3. Step 3: Cross multiply
    557.94x = 837.08 × 314.40
  4. Step 4: Simplify right side
    557.94x = 263,177.95
  5. Step 5: Solve for x
    x = 263,177.95/557.94
  6. Step 6: Final answer
    x = 471.70

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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.