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Finding the Fourth Proportional to 608.42, 840.02 and 468.28

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Solution

The fourth proportional to 608.42, 840.02 and 468.28 is: 646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.42 : 840.02 = 468.28 : x
  2. Step 2: Convert to fraction form
    608.42/840.02 = 468.28/x
  3. Step 3: Cross multiply
    608.42x = 840.02 × 468.28
  4. Step 4: Simplify right side
    608.42x = 393,364.57
  5. Step 5: Solve for x
    x = 393,364.57/608.42
  6. Step 6: Final answer
    x = 646.53

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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.