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Finding the Fourth Proportional to 314.07, 470.59 and 302.07

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Solution

The fourth proportional to 314.07, 470.59 and 302.07 is: 452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.07 : 470.59 = 302.07 : x
  2. Step 2: Convert to fraction form
    314.07/470.59 = 302.07/x
  3. Step 3: Cross multiply
    314.07x = 470.59 × 302.07
  4. Step 4: Simplify right side
    314.07x = 142,151.12
  5. Step 5: Solve for x
    x = 142,151.12/314.07
  6. Step 6: Final answer
    x = 452.61

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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.