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Finding the Fourth Proportional to 566.95, 849.91 and 292.69

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Solution

The fourth proportional to 566.95, 849.91 and 292.69 is: 438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.95 : 849.91 = 292.69 : x
  2. Step 2: Convert to fraction form
    566.95/849.91 = 292.69/x
  3. Step 3: Cross multiply
    566.95x = 849.91 × 292.69
  4. Step 4: Simplify right side
    566.95x = 248,760.16
  5. Step 5: Solve for x
    x = 248,760.16/566.95
  6. Step 6: Final answer
    x = 438.77

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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.