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Finding the Fourth Proportional to 542.19, 812.00 and 346.58

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Solution

The fourth proportional to 542.19, 812.00 and 346.58 is: 519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.19 : 812.00 = 346.58 : x
  2. Step 2: Convert to fraction form
    542.19/812.00 = 346.58/x
  3. Step 3: Cross multiply
    542.19x = 812.00 × 346.58
  4. Step 4: Simplify right side
    542.19x = 281,417.17
  5. Step 5: Solve for x
    x = 281,417.17/542.19
  6. Step 6: Final answer
    x = 519.04

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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.