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Finding the Fourth Proportional to 542.63, 812.98 and 464.83

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Solution

The fourth proportional to 542.63, 812.98 and 464.83 is: 696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.63 : 812.98 = 464.83 : x
  2. Step 2: Convert to fraction form
    542.63/812.98 = 464.83/x
  3. Step 3: Cross multiply
    542.63x = 812.98 × 464.83
  4. Step 4: Simplify right side
    542.63x = 377,895.17
  5. Step 5: Solve for x
    x = 377,895.17/542.63
  6. Step 6: Final answer
    x = 696.41

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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.