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Finding the Fourth Proportional to 665.17, 916.73 and 541.24

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Solution

The fourth proportional to 665.17, 916.73 and 541.24 is: 745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.17 : 916.73 = 541.24 : x
  2. Step 2: Convert to fraction form
    665.17/916.73 = 541.24/x
  3. Step 3: Cross multiply
    665.17x = 916.73 × 541.24
  4. Step 4: Simplify right side
    665.17x = 496,167.71
  5. Step 5: Solve for x
    x = 496,167.71/665.17
  6. Step 6: Final answer
    x = 745.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.