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Finding the Fourth Proportional to 469.74, 703.62 and 377.94

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Solution

The fourth proportional to 469.74, 703.62 and 377.94 is: 566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.74 : 703.62 = 377.94 : x
  2. Step 2: Convert to fraction form
    469.74/703.62 = 377.94/x
  3. Step 3: Cross multiply
    469.74x = 703.62 × 377.94
  4. Step 4: Simplify right side
    469.74x = 265,926.14
  5. Step 5: Solve for x
    x = 265,926.14/469.74
  6. Step 6: Final answer
    x = 566.11

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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.