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Finding the Fourth Proportional to 557.46, 836.13 and 414.06

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Solution

The fourth proportional to 557.46, 836.13 and 414.06 is: 621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.46 : 836.13 = 414.06 : x
  2. Step 2: Convert to fraction form
    557.46/836.13 = 414.06/x
  3. Step 3: Cross multiply
    557.46x = 836.13 × 414.06
  4. Step 4: Simplify right side
    557.46x = 346,207.99
  5. Step 5: Solve for x
    x = 346,207.99/557.46
  6. Step 6: Final answer
    x = 621.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.