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Finding the Fourth Proportional to 652.42, 900.39 and 403.75

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Solution

The fourth proportional to 652.42, 900.39 and 403.75 is: 557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.42 : 900.39 = 403.75 : x
  2. Step 2: Convert to fraction form
    652.42/900.39 = 403.75/x
  3. Step 3: Cross multiply
    652.42x = 900.39 × 403.75
  4. Step 4: Simplify right side
    652.42x = 363,532.46
  5. Step 5: Solve for x
    x = 363,532.46/652.42
  6. Step 6: Final answer
    x = 557.21

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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.