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Finding the Fourth Proportional to 313.02, 431.93 and 302.54

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Solution

The fourth proportional to 313.02, 431.93 and 302.54 is: 417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.02 : 431.93 = 302.54 : x
  2. Step 2: Convert to fraction form
    313.02/431.93 = 302.54/x
  3. Step 3: Cross multiply
    313.02x = 431.93 × 302.54
  4. Step 4: Simplify right side
    313.02x = 130,672.43
  5. Step 5: Solve for x
    x = 130,672.43/313.02
  6. Step 6: Final answer
    x = 417.46

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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.