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Finding the Fourth Proportional to 669.30, 921.48 and 590.52

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Solution

The fourth proportional to 669.30, 921.48 and 590.52 is: 813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.30 : 921.48 = 590.52 : x
  2. Step 2: Convert to fraction form
    669.30/921.48 = 590.52/x
  3. Step 3: Cross multiply
    669.30x = 921.48 × 590.52
  4. Step 4: Simplify right side
    669.30x = 544,152.37
  5. Step 5: Solve for x
    x = 544,152.37/669.30
  6. Step 6: Final answer
    x = 813.02

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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.