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Finding the Fourth Proportional to 563.48, 846.71 and 303.68

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Solution

The fourth proportional to 563.48, 846.71 and 303.68 is: 456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.48 : 846.71 = 303.68 : x
  2. Step 2: Convert to fraction form
    563.48/846.71 = 303.68/x
  3. Step 3: Cross multiply
    563.48x = 846.71 × 303.68
  4. Step 4: Simplify right side
    563.48x = 257,123.14
  5. Step 5: Solve for x
    x = 257,123.14/563.48
  6. Step 6: Final answer
    x = 456.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.