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Finding the Fourth Proportional to 607.06, 910.80 and 314.80

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Solution

The fourth proportional to 607.06, 910.80 and 314.80 is: 472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.06 : 910.80 = 314.80 : x
  2. Step 2: Convert to fraction form
    607.06/910.80 = 314.80/x
  3. Step 3: Cross multiply
    607.06x = 910.80 × 314.80
  4. Step 4: Simplify right side
    607.06x = 286,719.84
  5. Step 5: Solve for x
    x = 286,719.84/607.06
  6. Step 6: Final answer
    x = 472.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.