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Finding the Fourth Proportional to 474.42, 706.63 and 444.42

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Solution

The fourth proportional to 474.42, 706.63 and 444.42 is: 661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.42 : 706.63 = 444.42 : x
  2. Step 2: Convert to fraction form
    474.42/706.63 = 444.42/x
  3. Step 3: Cross multiply
    474.42x = 706.63 × 444.42
  4. Step 4: Simplify right side
    474.42x = 314,040.50
  5. Step 5: Solve for x
    x = 314,040.50/474.42
  6. Step 6: Final answer
    x = 661.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.