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Finding the Fourth Proportional to 564.49, 846.33 and 256.49

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Solution

The fourth proportional to 564.49, 846.33 and 256.49 is: 384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.49 : 846.33 = 256.49 : x
  2. Step 2: Convert to fraction form
    564.49/846.33 = 256.49/x
  3. Step 3: Cross multiply
    564.49x = 846.33 × 256.49
  4. Step 4: Simplify right side
    564.49x = 217,075.18
  5. Step 5: Solve for x
    x = 217,075.18/564.49
  6. Step 6: Final answer
    x = 384.55

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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.