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Finding the Fourth Proportional to 608.58, 839.57 and 468.45

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Solution

The fourth proportional to 608.58, 839.57 and 468.45 is: 646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.58 : 839.57 = 468.45 : x
  2. Step 2: Convert to fraction form
    608.58/839.57 = 468.45/x
  3. Step 3: Cross multiply
    608.58x = 839.57 × 468.45
  4. Step 4: Simplify right side
    608.58x = 393,294.22
  5. Step 5: Solve for x
    x = 393,294.22/608.58
  6. Step 6: Final answer
    x = 646.25

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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.