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Finding the Fourth Proportional to 541.68, 812.57 and 176.46

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Solution

The fourth proportional to 541.68, 812.57 and 176.46 is: 264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.68 : 812.57 = 176.46 : x
  2. Step 2: Convert to fraction form
    541.68/812.57 = 176.46/x
  3. Step 3: Cross multiply
    541.68x = 812.57 × 176.46
  4. Step 4: Simplify right side
    541.68x = 143,385.22
  5. Step 5: Solve for x
    x = 143,385.22/541.68
  6. Step 6: Final answer
    x = 264.70

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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.