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Finding the Fourth Proportional to 466.83, 643.83 and 356.10

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Solution

The fourth proportional to 466.83, 643.83 and 356.10 is: 491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.83 : 643.83 = 356.10 : x
  2. Step 2: Convert to fraction form
    466.83/643.83 = 356.10/x
  3. Step 3: Cross multiply
    466.83x = 643.83 × 356.10
  4. Step 4: Simplify right side
    466.83x = 229,267.86
  5. Step 5: Solve for x
    x = 229,267.86/466.83
  6. Step 6: Final answer
    x = 491.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.