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Finding the Fourth Proportional to 587.40, 810.82 and 390.84

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Solution

The fourth proportional to 587.40, 810.82 and 390.84 is: 539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.40 : 810.82 = 390.84 : x
  2. Step 2: Convert to fraction form
    587.40/810.82 = 390.84/x
  3. Step 3: Cross multiply
    587.40x = 810.82 × 390.84
  4. Step 4: Simplify right side
    587.40x = 316,900.89
  5. Step 5: Solve for x
    x = 316,900.89/587.40
  6. Step 6: Final answer
    x = 539.50

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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.