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Finding the Fourth Proportional to 653.04, 900.81 and 466.56

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Solution

The fourth proportional to 653.04, 900.81 and 466.56 is: 643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.04 : 900.81 = 466.56 : x
  2. Step 2: Convert to fraction form
    653.04/900.81 = 466.56/x
  3. Step 3: Cross multiply
    653.04x = 900.81 × 466.56
  4. Step 4: Simplify right side
    653.04x = 420,281.91
  5. Step 5: Solve for x
    x = 420,281.91/653.04
  6. Step 6: Final answer
    x = 643.58

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Why These Related Problems?

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