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Finding the Fourth Proportional to 667.50, 921.51 and 446.76

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Solution

The fourth proportional to 667.50, 921.51 and 446.76 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.50 : 921.51 = 446.76 : x
  2. Step 2: Convert to fraction form
    667.50/921.51 = 446.76/x
  3. Step 3: Cross multiply
    667.50x = 921.51 × 446.76
  4. Step 4: Simplify right side
    667.50x = 411,693.81
  5. Step 5: Solve for x
    x = 411,693.81/667.50
  6. Step 6: Final answer
    x = 616.77

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1.5x scale

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.