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Finding the Fourth Proportional to 618.90, 933.20 and 542.10

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Solution

The fourth proportional to 618.90, 933.20 and 542.10 is: 817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.90 : 933.20 = 542.10 : x
  2. Step 2: Convert to fraction form
    618.90/933.20 = 542.10/x
  3. Step 3: Cross multiply
    618.90x = 933.20 × 542.10
  4. Step 4: Simplify right side
    618.90x = 505,885.01
  5. Step 5: Solve for x
    x = 505,885.01/618.90
  6. Step 6: Final answer
    x = 817.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.