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Finding the Fourth Proportional to 564.61, 846.50 and 256.31

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Solution

The fourth proportional to 564.61, 846.50 and 256.31 is: 384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.61 : 846.50 = 256.31 : x
  2. Step 2: Convert to fraction form
    564.61/846.50 = 256.31/x
  3. Step 3: Cross multiply
    564.61x = 846.50 × 256.31
  4. Step 4: Simplify right side
    564.61x = 216,962.18
  5. Step 5: Solve for x
    x = 216,962.18/564.61
  6. Step 6: Final answer
    x = 384.27

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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.