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Finding the Fourth Proportional to 314.07, 470.42 and 305.45

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Solution

The fourth proportional to 314.07, 470.42 and 305.45 is: 457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.07 : 470.42 = 305.45 : x
  2. Step 2: Convert to fraction form
    314.07/470.42 = 305.45/x
  3. Step 3: Cross multiply
    314.07x = 470.42 × 305.45
  4. Step 4: Simplify right side
    314.07x = 143,689.79
  5. Step 5: Solve for x
    x = 143,689.79/314.07
  6. Step 6: Final answer
    x = 457.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.