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Finding the Fourth Proportional to 563, 777.04 and 538.40

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Solution

The fourth proportional to 563, 777.04 and 538.40 is: 743.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    563 : 777.04 = 538.40 : x
  2. Step 2: Convert to fraction form
    563/777.04 = 538.40/x
  3. Step 3: Cross multiply
    563x = 777.04 × 538.40
  4. Step 4: Simplify right side
    563x = 418,358.34
  5. Step 5: Solve for x
    x = 418,358.34/563
  6. Step 6: Final answer
    x = 743.09

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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.