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Finding the Fourth Proportional to 566.29, 849.98 and 292.58

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Solution

The fourth proportional to 566.29, 849.98 and 292.58 is: 439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.29 : 849.98 = 292.58 : x
  2. Step 2: Convert to fraction form
    566.29/849.98 = 292.58/x
  3. Step 3: Cross multiply
    566.29x = 849.98 × 292.58
  4. Step 4: Simplify right side
    566.29x = 248,681.44
  5. Step 5: Solve for x
    x = 248,681.44/566.29
  6. Step 6: Final answer
    x = 439.14

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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.