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Finding the Fourth Proportional to 548.16, 817.61 and 466.08

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Solution

The fourth proportional to 548.16, 817.61 and 466.08 is: 695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.16 : 817.61 = 466.08 : x
  2. Step 2: Convert to fraction form
    548.16/817.61 = 466.08/x
  3. Step 3: Cross multiply
    548.16x = 817.61 × 466.08
  4. Step 4: Simplify right side
    548.16x = 381,071.67
  5. Step 5: Solve for x
    x = 381,071.67/548.16
  6. Step 6: Final answer
    x = 695.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.