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Finding the Fourth Proportional to 550.42, 824.88 and 303.04

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Solution

The fourth proportional to 550.42, 824.88 and 303.04 is: 454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.42 : 824.88 = 303.04 : x
  2. Step 2: Convert to fraction form
    550.42/824.88 = 303.04/x
  3. Step 3: Cross multiply
    550.42x = 824.88 × 303.04
  4. Step 4: Simplify right side
    550.42x = 249,971.64
  5. Step 5: Solve for x
    x = 249,971.64/550.42
  6. Step 6: Final answer
    x = 454.15

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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.