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Finding the Fourth Proportional to 652.67, 900.84 and 403.84

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Solution

The fourth proportional to 652.67, 900.84 and 403.84 is: 557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.67 : 900.84 = 403.84 : x
  2. Step 2: Convert to fraction form
    652.67/900.84 = 403.84/x
  3. Step 3: Cross multiply
    652.67x = 900.84 × 403.84
  4. Step 4: Simplify right side
    652.67x = 363,796.03
  5. Step 5: Solve for x
    x = 363,796.03/652.67
  6. Step 6: Final answer
    x = 557.40

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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.