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Finding the Fourth Proportional to 356.08, 533.64 and 313.84

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Solution

The fourth proportional to 356.08, 533.64 and 313.84 is: 470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.08 : 533.64 = 313.84 : x
  2. Step 2: Convert to fraction form
    356.08/533.64 = 313.84/x
  3. Step 3: Cross multiply
    356.08x = 533.64 × 313.84
  4. Step 4: Simplify right side
    356.08x = 167,477.58
  5. Step 5: Solve for x
    x = 167,477.58/356.08
  6. Step 6: Final answer
    x = 470.34

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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.