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Finding the Fourth Proportional to 564.81, 848.17 and 535.58

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Solution

The fourth proportional to 564.81, 848.17 and 535.58 is: 804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.81 : 848.17 = 535.58 : x
  2. Step 2: Convert to fraction form
    564.81/848.17 = 535.58/x
  3. Step 3: Cross multiply
    564.81x = 848.17 × 535.58
  4. Step 4: Simplify right side
    564.81x = 454,262.50
  5. Step 5: Solve for x
    x = 454,262.50/564.81
  6. Step 6: Final answer
    x = 804.28

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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.