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Finding the Fourth Proportional to 653.19, 900.61 and 464.32

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Solution

The fourth proportional to 653.19, 900.61 and 464.32 is: 640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.19 : 900.61 = 464.32 : x
  2. Step 2: Convert to fraction form
    653.19/900.61 = 464.32/x
  3. Step 3: Cross multiply
    653.19x = 900.61 × 464.32
  4. Step 4: Simplify right side
    653.19x = 418,171.24
  5. Step 5: Solve for x
    x = 418,171.24/653.19
  6. Step 6: Final answer
    x = 640.20

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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.