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Finding the Fourth Proportional to 564.06, 844.28 and 303.40

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Solution

The fourth proportional to 564.06, 844.28 and 303.40 is: 454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.06 : 844.28 = 303.40 : x
  2. Step 2: Convert to fraction form
    564.06/844.28 = 303.40/x
  3. Step 3: Cross multiply
    564.06x = 844.28 × 303.40
  4. Step 4: Simplify right side
    564.06x = 256,154.55
  5. Step 5: Solve for x
    x = 256,154.55/564.06
  6. Step 6: Final answer
    x = 454.13

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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.