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Finding the Fourth Proportional to 652.84, 901.24 and 420.10

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Solution

The fourth proportional to 652.84, 901.24 and 420.10 is: 579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.84 : 901.24 = 420.10 : x
  2. Step 2: Convert to fraction form
    652.84/901.24 = 420.10/x
  3. Step 3: Cross multiply
    652.84x = 901.24 × 420.10
  4. Step 4: Simplify right side
    652.84x = 378,610.92
  5. Step 5: Solve for x
    x = 378,610.92/652.84
  6. Step 6: Final answer
    x = 579.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.