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Finding the Fourth Proportional to 547.16, 821.16 and 258.68

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Solution

The fourth proportional to 547.16, 821.16 and 258.68 is: 388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.16 : 821.16 = 258.68 : x
  2. Step 2: Convert to fraction form
    547.16/821.16 = 258.68/x
  3. Step 3: Cross multiply
    547.16x = 821.16 × 258.68
  4. Step 4: Simplify right side
    547.16x = 212,417.67
  5. Step 5: Solve for x
    x = 212,417.67/547.16
  6. Step 6: Final answer
    x = 388.22

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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.