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Finding the Fourth Proportional to 608.64, 838.12 and 502.94

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Solution

The fourth proportional to 608.64, 838.12 and 502.94 is: 692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.64 : 838.12 = 502.94 : x
  2. Step 2: Convert to fraction form
    608.64/838.12 = 502.94/x
  3. Step 3: Cross multiply
    608.64x = 838.12 × 502.94
  4. Step 4: Simplify right side
    608.64x = 421,524.07
  5. Step 5: Solve for x
    x = 421,524.07/608.64
  6. Step 6: Final answer
    x = 692.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.