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Finding the Fourth Proportional to 557.61, 836.52 and 466.94

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Solution

The fourth proportional to 557.61, 836.52 and 466.94 is: 700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.61 : 836.52 = 466.94 : x
  2. Step 2: Convert to fraction form
    557.61/836.52 = 466.94/x
  3. Step 3: Cross multiply
    557.61x = 836.52 × 466.94
  4. Step 4: Simplify right side
    557.61x = 390,604.65
  5. Step 5: Solve for x
    x = 390,604.65/557.61
  6. Step 6: Final answer
    x = 700.50

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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.