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Finding the Fourth Proportional to 563.52, 776.64 and 408

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Solution

The fourth proportional to 563.52, 776.64 and 408 is: 562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.52 : 776.64 = 408 : x
  2. Step 2: Convert to fraction form
    563.52/776.64 = 408/x
  3. Step 3: Cross multiply
    563.52x = 776.64 × 408
  4. Step 4: Simplify right side
    563.52x = 316,869.12
  5. Step 5: Solve for x
    x = 316,869.12/563.52
  6. Step 6: Final answer
    x = 562.30

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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.