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Finding the Fourth Proportional to 314.05, 470.10 and 283.06

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Solution

The fourth proportional to 314.05, 470.10 and 283.06 is: 423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.05 : 470.10 = 283.06 : x
  2. Step 2: Convert to fraction form
    314.05/470.10 = 283.06/x
  3. Step 3: Cross multiply
    314.05x = 470.10 × 283.06
  4. Step 4: Simplify right side
    314.05x = 133,066.51
  5. Step 5: Solve for x
    x = 133,066.51/314.05
  6. Step 6: Final answer
    x = 423.72

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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.