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Finding the Fourth Proportional to 652.98, 900.72 and 420.24

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Solution

The fourth proportional to 652.98, 900.72 and 420.24 is: 579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.98 : 900.72 = 420.24 : x
  2. Step 2: Convert to fraction form
    652.98/900.72 = 420.24/x
  3. Step 3: Cross multiply
    652.98x = 900.72 × 420.24
  4. Step 4: Simplify right side
    652.98x = 378,518.57
  5. Step 5: Solve for x
    x = 378,518.57/652.98
  6. Step 6: Final answer
    x = 579.68

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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.