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Finding the Fourth Proportional to 390.57, 538.98 and 213.53

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Solution

The fourth proportional to 390.57, 538.98 and 213.53 is: 294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.57 : 538.98 = 213.53 : x
  2. Step 2: Convert to fraction form
    390.57/538.98 = 213.53/x
  3. Step 3: Cross multiply
    390.57x = 538.98 × 213.53
  4. Step 4: Simplify right side
    390.57x = 115,088.40
  5. Step 5: Solve for x
    x = 115,088.40/390.57
  6. Step 6: Final answer
    x = 294.67

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Why These Related Problems?

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