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Finding the Fourth Proportional to 500.98, 691.20 and 304.42

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Solution

The fourth proportional to 500.98, 691.20 and 304.42 is: 420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.98 : 691.20 = 304.42 : x
  2. Step 2: Convert to fraction form
    500.98/691.20 = 304.42/x
  3. Step 3: Cross multiply
    500.98x = 691.20 × 304.42
  4. Step 4: Simplify right side
    500.98x = 210,415.10
  5. Step 5: Solve for x
    x = 210,415.10/500.98
  6. Step 6: Final answer
    x = 420.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.