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Finding the Fourth Proportional to 491.60, 677.64 and 336.08

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Solution

The fourth proportional to 491.60, 677.64 and 336.08 is: 463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.60 : 677.64 = 336.08 : x
  2. Step 2: Convert to fraction form
    491.60/677.64 = 336.08/x
  3. Step 3: Cross multiply
    491.60x = 677.64 × 336.08
  4. Step 4: Simplify right side
    491.60x = 227,741.25
  5. Step 5: Solve for x
    x = 227,741.25/491.60
  6. Step 6: Final answer
    x = 463.27

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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.