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Finding the Fourth Proportional to 903.81, 1,356.27 and 390.81

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Solution

The fourth proportional to 903.81, 1,356.27 and 390.81 is: 586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.81 : 1,356.27 = 390.81 : x
  2. Step 2: Convert to fraction form
    903.81/1,356.27 = 390.81/x
  3. Step 3: Cross multiply
    903.81x = 1,356.27 × 390.81
  4. Step 4: Simplify right side
    903.81x = 530,043.88
  5. Step 5: Solve for x
    x = 530,043.88/903.81
  6. Step 6: Final answer
    x = 586.45

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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.