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Finding the Fourth Proportional to 435.13, 600.78 and 288.01

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Solution

The fourth proportional to 435.13, 600.78 and 288.01 is: 397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.13 : 600.78 = 288.01 : x
  2. Step 2: Convert to fraction form
    435.13/600.78 = 288.01/x
  3. Step 3: Cross multiply
    435.13x = 600.78 × 288.01
  4. Step 4: Simplify right side
    435.13x = 173,030.65
  5. Step 5: Solve for x
    x = 173,030.65/435.13
  6. Step 6: Final answer
    x = 397.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.