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Finding the Fourth Proportional to 563.46, 776.70 and 465.06

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Solution

The fourth proportional to 563.46, 776.70 and 465.06 is: 641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.46 : 776.70 = 465.06 : x
  2. Step 2: Convert to fraction form
    563.46/776.70 = 465.06/x
  3. Step 3: Cross multiply
    563.46x = 776.70 × 465.06
  4. Step 4: Simplify right side
    563.46x = 361,212.10
  5. Step 5: Solve for x
    x = 361,212.10/563.46
  6. Step 6: Final answer
    x = 641.06

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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.