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Finding the Fourth Proportional to 608.48, 914.84 and 426.64

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Solution

The fourth proportional to 608.48, 914.84 and 426.64 is: 641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.48 : 914.84 = 426.64 : x
  2. Step 2: Convert to fraction form
    608.48/914.84 = 426.64/x
  3. Step 3: Cross multiply
    608.48x = 914.84 × 426.64
  4. Step 4: Simplify right side
    608.48x = 390,307.34
  5. Step 5: Solve for x
    x = 390,307.34/608.48
  6. Step 6: Final answer
    x = 641.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.