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Finding the Fourth Proportional to 580.49, 801.42 and 403.40

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Solution

The fourth proportional to 580.49, 801.42 and 403.40 is: 556.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.49 : 801.42 = 403.40 : x
  2. Step 2: Convert to fraction form
    580.49/801.42 = 403.40/x
  3. Step 3: Cross multiply
    580.49x = 801.42 × 403.40
  4. Step 4: Simplify right side
    580.49x = 323,290.36
  5. Step 5: Solve for x
    x = 323,290.36/580.49
  6. Step 6: Final answer
    x = 556.92

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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.