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Finding the Fourth Proportional to 532.35, 798.62 and 220.00

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Solution

The fourth proportional to 532.35, 798.62 and 220.00 is: 330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.35 : 798.62 = 220.00 : x
  2. Step 2: Convert to fraction form
    532.35/798.62 = 220.00/x
  3. Step 3: Cross multiply
    532.35x = 798.62 × 220.00
  4. Step 4: Simplify right side
    532.35x = 175,691.81
  5. Step 5: Solve for x
    x = 175,691.81/532.35
  6. Step 6: Final answer
    x = 330.03

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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.