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Finding the Fourth Proportional to 669.94, 924.55 and 414.49

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Solution

The fourth proportional to 669.94, 924.55 and 414.49 is: 572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.94 : 924.55 = 414.49 : x
  2. Step 2: Convert to fraction form
    669.94/924.55 = 414.49/x
  3. Step 3: Cross multiply
    669.94x = 924.55 × 414.49
  4. Step 4: Simplify right side
    669.94x = 383,216.73
  5. Step 5: Solve for x
    x = 383,216.73/669.94
  6. Step 6: Final answer
    x = 572.02

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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.