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Finding the Fourth Proportional to 650.04, 973.61 and 466.88

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Solution

The fourth proportional to 650.04, 973.61 and 466.88 is: 699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.04 : 973.61 = 466.88 : x
  2. Step 2: Convert to fraction form
    650.04/973.61 = 466.88/x
  3. Step 3: Cross multiply
    650.04x = 973.61 × 466.88
  4. Step 4: Simplify right side
    650.04x = 454,559.04
  5. Step 5: Solve for x
    x = 454,559.04/650.04
  6. Step 6: Final answer
    x = 699.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.