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Finding the Fourth Proportional to 652.84, 900.50 and 404.06

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Solution

The fourth proportional to 652.84, 900.50 and 404.06 is: 557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.84 : 900.50 = 404.06 : x
  2. Step 2: Convert to fraction form
    652.84/900.50 = 404.06/x
  3. Step 3: Cross multiply
    652.84x = 900.50 × 404.06
  4. Step 4: Simplify right side
    652.84x = 363,856.03
  5. Step 5: Solve for x
    x = 363,856.03/652.84
  6. Step 6: Final answer
    x = 557.34

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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.