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Finding the Fourth Proportional to 564.66, 845.64 and 347.58

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Solution

The fourth proportional to 564.66, 845.64 and 347.58 is: 520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.66 : 845.64 = 347.58 : x
  2. Step 2: Convert to fraction form
    564.66/845.64 = 347.58/x
  3. Step 3: Cross multiply
    564.66x = 845.64 × 347.58
  4. Step 4: Simplify right side
    564.66x = 293,927.55
  5. Step 5: Solve for x
    x = 293,927.55/564.66
  6. Step 6: Final answer
    x = 520.54

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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.