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Finding the Fourth Proportional to 383.45, 526.87 and 313.34

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Solution

The fourth proportional to 383.45, 526.87 and 313.34 is: 430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.45 : 526.87 = 313.34 : x
  2. Step 2: Convert to fraction form
    383.45/526.87 = 313.34/x
  3. Step 3: Cross multiply
    383.45x = 526.87 × 313.34
  4. Step 4: Simplify right side
    383.45x = 165,089.45
  5. Step 5: Solve for x
    x = 165,089.45/383.45
  6. Step 6: Final answer
    x = 430.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.