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Finding the Fourth Proportional to 648.42, 973.50 and 404.16

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Solution

The fourth proportional to 648.42, 973.50 and 404.16 is: 606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.42 : 973.50 = 404.16 : x
  2. Step 2: Convert to fraction form
    648.42/973.50 = 404.16/x
  3. Step 3: Cross multiply
    648.42x = 973.50 × 404.16
  4. Step 4: Simplify right side
    648.42x = 393,449.76
  5. Step 5: Solve for x
    x = 393,449.76/648.42
  6. Step 6: Final answer
    x = 606.78

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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.