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Finding the Fourth Proportional to 403.48, 560.61 and 399.20

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Solution

The fourth proportional to 403.48, 560.61 and 399.20 is: 554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.48 : 560.61 = 399.20 : x
  2. Step 2: Convert to fraction form
    403.48/560.61 = 399.20/x
  3. Step 3: Cross multiply
    403.48x = 560.61 × 399.20
  4. Step 4: Simplify right side
    403.48x = 223,795.51
  5. Step 5: Solve for x
    x = 223,795.51/403.48
  6. Step 6: Final answer
    x = 554.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.