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Finding the Fourth Proportional to 600.04, 896.33 and 502.84

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Solution

The fourth proportional to 600.04, 896.33 and 502.84 is: 751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.04 : 896.33 = 502.84 : x
  2. Step 2: Convert to fraction form
    600.04/896.33 = 502.84/x
  3. Step 3: Cross multiply
    600.04x = 896.33 × 502.84
  4. Step 4: Simplify right side
    600.04x = 450,710.58
  5. Step 5: Solve for x
    x = 450,710.58/600.04
  6. Step 6: Final answer
    x = 751.13

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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.