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Finding the Fourth Proportional to 653.10, 900.36 and 466.52

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Solution

The fourth proportional to 653.10, 900.36 and 466.52 is: 643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.10 : 900.36 = 466.52 : x
  2. Step 2: Convert to fraction form
    653.10/900.36 = 466.52/x
  3. Step 3: Cross multiply
    653.10x = 900.36 × 466.52
  4. Step 4: Simplify right side
    653.10x = 420,035.95
  5. Step 5: Solve for x
    x = 420,035.95/653.10
  6. Step 6: Final answer
    x = 643.14

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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.