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Finding the Fourth Proportional to 474.93, 708.62 and 393.93

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Solution

The fourth proportional to 474.93, 708.62 and 393.93 is: 587.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.93 : 708.62 = 393.93 : x
  2. Step 2: Convert to fraction form
    474.93/708.62 = 393.93/x
  3. Step 3: Cross multiply
    474.93x = 708.62 × 393.93
  4. Step 4: Simplify right side
    474.93x = 279,144.71
  5. Step 5: Solve for x
    x = 279,144.71/474.93
  6. Step 6: Final answer
    x = 587.76

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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.