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Finding the Fourth Proportional to 542.35, 813.16 and 464.32

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Solution

The fourth proportional to 542.35, 813.16 and 464.32 is: 696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.35 : 813.16 = 464.32 : x
  2. Step 2: Convert to fraction form
    542.35/813.16 = 464.32/x
  3. Step 3: Cross multiply
    542.35x = 813.16 × 464.32
  4. Step 4: Simplify right side
    542.35x = 377,566.45
  5. Step 5: Solve for x
    x = 377,566.45/542.35
  6. Step 6: Final answer
    x = 696.17

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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.