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Finding the Fourth Proportional to 602.30, 903.35 and 500.24

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Solution

The fourth proportional to 602.30, 903.35 and 500.24 is: 750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.30 : 903.35 = 500.24 : x
  2. Step 2: Convert to fraction form
    602.30/903.35 = 500.24/x
  3. Step 3: Cross multiply
    602.30x = 903.35 × 500.24
  4. Step 4: Simplify right side
    602.30x = 451,884.79
  5. Step 5: Solve for x
    x = 451,884.79/602.30
  6. Step 6: Final answer
    x = 750.27

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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.