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Finding the Fourth Proportional to 566.46, 849.06 and 349.74

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Solution

The fourth proportional to 566.46, 849.06 and 349.74 is: 524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.46 : 849.06 = 349.74 : x
  2. Step 2: Convert to fraction form
    566.46/849.06 = 349.74/x
  3. Step 3: Cross multiply
    566.46x = 849.06 × 349.74
  4. Step 4: Simplify right side
    566.46x = 296,950.24
  5. Step 5: Solve for x
    x = 296,950.24/566.46
  6. Step 6: Final answer
    x = 524.22

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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.