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Finding the Fourth Proportional to 474.84, 712.56 and 312.64

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Solution

The fourth proportional to 474.84, 712.56 and 312.64 is: 469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.84 : 712.56 = 312.64 : x
  2. Step 2: Convert to fraction form
    474.84/712.56 = 312.64/x
  3. Step 3: Cross multiply
    474.84x = 712.56 × 312.64
  4. Step 4: Simplify right side
    474.84x = 222,774.15
  5. Step 5: Solve for x
    x = 222,774.15/474.84
  6. Step 6: Final answer
    x = 469.16

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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.