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Finding the Fourth Proportional to 416.48, 575.25 and 312.04

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Solution

The fourth proportional to 416.48, 575.25 and 312.04 is: 430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.48 : 575.25 = 312.04 : x
  2. Step 2: Convert to fraction form
    416.48/575.25 = 312.04/x
  3. Step 3: Cross multiply
    416.48x = 575.25 × 312.04
  4. Step 4: Simplify right side
    416.48x = 179,499.08
  5. Step 5: Solve for x
    x = 179,499.08/416.48
  6. Step 6: Final answer
    x = 430.99

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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.