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Finding the Fourth Proportional to 652.02, 899.88 and 403.42

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Solution

The fourth proportional to 652.02, 899.88 and 403.42 is: 556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.02 : 899.88 = 403.42 : x
  2. Step 2: Convert to fraction form
    652.02/899.88 = 403.42/x
  3. Step 3: Cross multiply
    652.02x = 899.88 × 403.42
  4. Step 4: Simplify right side
    652.02x = 363,029.59
  5. Step 5: Solve for x
    x = 363,029.59/652.02
  6. Step 6: Final answer
    x = 556.78

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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.