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Finding the Fourth Proportional to 581.60, 866.90 and 537.84

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Solution

The fourth proportional to 581.60, 866.90 and 537.84 is: 801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.60 : 866.90 = 537.84 : x
  2. Step 2: Convert to fraction form
    581.60/866.90 = 537.84/x
  3. Step 3: Cross multiply
    581.60x = 866.90 × 537.84
  4. Step 4: Simplify right side
    581.60x = 466,253.50
  5. Step 5: Solve for x
    x = 466,253.50/581.60
  6. Step 6: Final answer
    x = 801.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.