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Finding the Fourth Proportional to 904.62, 1,357.10 and 288.16

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Solution

The fourth proportional to 904.62, 1,357.10 and 288.16 is: 432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.62 : 1,357.10 = 288.16 : x
  2. Step 2: Convert to fraction form
    904.62/1,357.10 = 288.16/x
  3. Step 3: Cross multiply
    904.62x = 1,357.10 × 288.16
  4. Step 4: Simplify right side
    904.62x = 391,061.94
  5. Step 5: Solve for x
    x = 391,061.94/904.62
  6. Step 6: Final answer
    x = 432.29

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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.