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Finding the Fourth Proportional to 491.04, 677.34 and 316.32

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Solution

The fourth proportional to 491.04, 677.34 and 316.32 is: 436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.04 : 677.34 = 316.32 : x
  2. Step 2: Convert to fraction form
    491.04/677.34 = 316.32/x
  3. Step 3: Cross multiply
    491.04x = 677.34 × 316.32
  4. Step 4: Simplify right side
    491.04x = 214,256.19
  5. Step 5: Solve for x
    x = 214,256.19/491.04
  6. Step 6: Final answer
    x = 436.33

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