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Finding the Fourth Proportional to 652.28, 900.16 and 403.72

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Solution

The fourth proportional to 652.28, 900.16 and 403.72 is: 557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.28 : 900.16 = 403.72 : x
  2. Step 2: Convert to fraction form
    652.28/900.16 = 403.72/x
  3. Step 3: Cross multiply
    652.28x = 900.16 × 403.72
  4. Step 4: Simplify right side
    652.28x = 363,409.34
  5. Step 5: Solve for x
    x = 363,409.34/652.28
  6. Step 6: Final answer
    x = 557.14

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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.