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Finding the Fourth Proportional to 669.72, 924.58 and 460.02

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Solution

The fourth proportional to 669.72, 924.58 and 460.02 is: 635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.72 : 924.58 = 460.02 : x
  2. Step 2: Convert to fraction form
    669.72/924.58 = 460.02/x
  3. Step 3: Cross multiply
    669.72x = 924.58 × 460.02
  4. Step 4: Simplify right side
    669.72x = 425,320.67
  5. Step 5: Solve for x
    x = 425,320.67/669.72
  6. Step 6: Final answer
    x = 635.08

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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.