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Finding the Fourth Proportional to 669.82, 924.81 and 417.85

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Solution

The fourth proportional to 669.82, 924.81 and 417.85 is: 576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.82 : 924.81 = 417.85 : x
  2. Step 2: Convert to fraction form
    669.82/924.81 = 417.85/x
  3. Step 3: Cross multiply
    669.82x = 924.81 × 417.85
  4. Step 4: Simplify right side
    669.82x = 386,427.98
  5. Step 5: Solve for x
    x = 386,427.98/669.82
  6. Step 6: Final answer
    x = 576.91

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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.