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Finding the Fourth Proportional to 389.14, 583.50 and 242.53

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Solution

The fourth proportional to 389.14, 583.50 and 242.53 is: 363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.14 : 583.50 = 242.53 : x
  2. Step 2: Convert to fraction form
    389.14/583.50 = 242.53/x
  3. Step 3: Cross multiply
    389.14x = 583.50 × 242.53
  4. Step 4: Simplify right side
    389.14x = 141,515.71
  5. Step 5: Solve for x
    x = 141,515.71/389.14
  6. Step 6: Final answer
    x = 363.67

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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.