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Finding the Fourth Proportional to 314.48, 470.64 and 307.28

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Solution

The fourth proportional to 314.48, 470.64 and 307.28 is: 459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.48 : 470.64 = 307.28 : x
  2. Step 2: Convert to fraction form
    314.48/470.64 = 307.28/x
  3. Step 3: Cross multiply
    314.48x = 470.64 × 307.28
  4. Step 4: Simplify right side
    314.48x = 144,618.26
  5. Step 5: Solve for x
    x = 144,618.26/314.48
  6. Step 6: Final answer
    x = 459.86

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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.