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Finding the Fourth Proportional to 880.02, 1,320.09 and 417.72

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Solution

The fourth proportional to 880.02, 1,320.09 and 417.72 is: 626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.02 : 1,320.09 = 417.72 : x
  2. Step 2: Convert to fraction form
    880.02/1,320.09 = 417.72/x
  3. Step 3: Cross multiply
    880.02x = 1,320.09 × 417.72
  4. Step 4: Simplify right side
    880.02x = 551,427.99
  5. Step 5: Solve for x
    x = 551,427.99/880.02
  6. Step 6: Final answer
    x = 626.61

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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.