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Finding the Fourth Proportional to 600.60, 901.80 and 463.80

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Solution

The fourth proportional to 600.60, 901.80 and 463.80 is: 696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.60 : 901.80 = 463.80 : x
  2. Step 2: Convert to fraction form
    600.60/901.80 = 463.80/x
  3. Step 3: Cross multiply
    600.60x = 901.80 × 463.80
  4. Step 4: Simplify right side
    600.60x = 418,254.84
  5. Step 5: Solve for x
    x = 418,254.84/600.60
  6. Step 6: Final answer
    x = 696.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.