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Finding the Fourth Proportional to 575.36, 864 and 448.16

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Solution

The fourth proportional to 575.36, 864 and 448.16 is: 672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.36 : 864 = 448.16 : x
  2. Step 2: Convert to fraction form
    575.36/864 = 448.16/x
  3. Step 3: Cross multiply
    575.36x = 864 × 448.16
  4. Step 4: Simplify right side
    575.36x = 387,210.24
  5. Step 5: Solve for x
    x = 387,210.24/575.36
  6. Step 6: Final answer
    x = 672.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.