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Finding the Fourth Proportional to 314.96, 469.78 and 305.36

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Solution

The fourth proportional to 314.96, 469.78 and 305.36 is: 455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.96 : 469.78 = 305.36 : x
  2. Step 2: Convert to fraction form
    314.96/469.78 = 305.36/x
  3. Step 3: Cross multiply
    314.96x = 469.78 × 305.36
  4. Step 4: Simplify right side
    314.96x = 143,452.02
  5. Step 5: Solve for x
    x = 143,452.02/314.96
  6. Step 6: Final answer
    x = 455.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.