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Finding the Fourth Proportional to 523.83, 722.79 and 302.70

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Solution

The fourth proportional to 523.83, 722.79 and 302.70 is: 417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.83 : 722.79 = 302.70 : x
  2. Step 2: Convert to fraction form
    523.83/722.79 = 302.70/x
  3. Step 3: Cross multiply
    523.83x = 722.79 × 302.70
  4. Step 4: Simplify right side
    523.83x = 218,788.53
  5. Step 5: Solve for x
    x = 218,788.53/523.83
  6. Step 6: Final answer
    x = 417.67

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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.