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Finding the Fourth Proportional to 666.84, 999.45 and 301.53

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Solution

The fourth proportional to 666.84, 999.45 and 301.53 is: 451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.84 : 999.45 = 301.53 : x
  2. Step 2: Convert to fraction form
    666.84/999.45 = 301.53/x
  3. Step 3: Cross multiply
    666.84x = 999.45 × 301.53
  4. Step 4: Simplify right side
    666.84x = 301,364.16
  5. Step 5: Solve for x
    x = 301,364.16/666.84
  6. Step 6: Final answer
    x = 451.93

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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.