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Finding the Fourth Proportional to 601.76, 903.24 and 313.84

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Solution

The fourth proportional to 601.76, 903.24 and 313.84 is: 471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.76 : 903.24 = 313.84 : x
  2. Step 2: Convert to fraction form
    601.76/903.24 = 313.84/x
  3. Step 3: Cross multiply
    601.76x = 903.24 × 313.84
  4. Step 4: Simplify right side
    601.76x = 283,472.84
  5. Step 5: Solve for x
    x = 283,472.84/601.76
  6. Step 6: Final answer
    x = 471.07

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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.