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Finding the Fourth Proportional to 353.60, 530.45 and 288.44

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Solution

The fourth proportional to 353.60, 530.45 and 288.44 is: 432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.60 : 530.45 = 288.44 : x
  2. Step 2: Convert to fraction form
    353.60/530.45 = 288.44/x
  3. Step 3: Cross multiply
    353.60x = 530.45 × 288.44
  4. Step 4: Simplify right side
    353.60x = 153,003.00
  5. Step 5: Solve for x
    x = 153,003.00/353.60
  6. Step 6: Final answer
    x = 432.70

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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.