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Finding the Fourth Proportional to 563.99, 777.40 and 342.52

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Solution

The fourth proportional to 563.99, 777.40 and 342.52 is: 472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.99 : 777.40 = 342.52 : x
  2. Step 2: Convert to fraction form
    563.99/777.40 = 342.52/x
  3. Step 3: Cross multiply
    563.99x = 777.40 × 342.52
  4. Step 4: Simplify right side
    563.99x = 266,272.25
  5. Step 5: Solve for x
    x = 266,272.25/563.99
  6. Step 6: Final answer
    x = 472.13

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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.