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Finding the Fourth Proportional to 563.65, 777.76 and 314.95

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Solution

The fourth proportional to 563.65, 777.76 and 314.95 is: 434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.65 : 777.76 = 314.95 : x
  2. Step 2: Convert to fraction form
    563.65/777.76 = 314.95/x
  3. Step 3: Cross multiply
    563.65x = 777.76 × 314.95
  4. Step 4: Simplify right side
    563.65x = 244,955.51
  5. Step 5: Solve for x
    x = 244,955.51/563.65
  6. Step 6: Final answer
    x = 434.59

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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.