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Finding the Fourth Proportional to 586.54, 809.40 and 390.41

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Solution

The fourth proportional to 586.54, 809.40 and 390.41 is: 538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.54 : 809.40 = 390.41 : x
  2. Step 2: Convert to fraction form
    586.54/809.40 = 390.41/x
  3. Step 3: Cross multiply
    586.54x = 809.40 × 390.41
  4. Step 4: Simplify right side
    586.54x = 315,993.81
  5. Step 5: Solve for x
    x = 315,993.81/586.54
  6. Step 6: Final answer
    x = 538.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.