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Finding the Fourth Proportional to 669.94, 925.48 and 473.10

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Solution

The fourth proportional to 669.94, 925.48 and 473.10 is: 653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.94 : 925.48 = 473.10 : x
  2. Step 2: Convert to fraction form
    669.94/925.48 = 473.10/x
  3. Step 3: Cross multiply
    669.94x = 925.48 × 473.10
  4. Step 4: Simplify right side
    669.94x = 437,844.59
  5. Step 5: Solve for x
    x = 437,844.59/669.94
  6. Step 6: Final answer
    x = 653.56

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