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Finding the Fourth Proportional to 568.16, 849.04 and 536.96

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Solution

The fourth proportional to 568.16, 849.04 and 536.96 is: 802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.16 : 849.04 = 536.96 : x
  2. Step 2: Convert to fraction form
    568.16/849.04 = 536.96/x
  3. Step 3: Cross multiply
    568.16x = 849.04 × 536.96
  4. Step 4: Simplify right side
    568.16x = 455,900.52
  5. Step 5: Solve for x
    x = 455,900.52/568.16
  6. Step 6: Final answer
    x = 802.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.