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Finding the Fourth Proportional to 602.46, 899.28 and 525.42

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Solution

The fourth proportional to 602.46, 899.28 and 525.42 is: 784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.46 : 899.28 = 525.42 : x
  2. Step 2: Convert to fraction form
    602.46/899.28 = 525.42/x
  3. Step 3: Cross multiply
    602.46x = 899.28 × 525.42
  4. Step 4: Simplify right side
    602.46x = 472,499.70
  5. Step 5: Solve for x
    x = 472,499.70/602.46
  6. Step 6: Final answer
    x = 784.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.