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Finding the Fourth Proportional to 548.16, 756.72 and 417.66

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Solution

The fourth proportional to 548.16, 756.72 and 417.66 is: 576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.16 : 756.72 = 417.66 : x
  2. Step 2: Convert to fraction form
    548.16/756.72 = 417.66/x
  3. Step 3: Cross multiply
    548.16x = 756.72 × 417.66
  4. Step 4: Simplify right side
    548.16x = 316,051.68
  5. Step 5: Solve for x
    x = 316,051.68/548.16
  6. Step 6: Final answer
    x = 576.57

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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.