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Finding the Fourth Proportional to 554.92, 766.06 and 345.16

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Solution

The fourth proportional to 554.92, 766.06 and 345.16 is: 476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.92 : 766.06 = 345.16 : x
  2. Step 2: Convert to fraction form
    554.92/766.06 = 345.16/x
  3. Step 3: Cross multiply
    554.92x = 766.06 × 345.16
  4. Step 4: Simplify right side
    554.92x = 264,412.84
  5. Step 5: Solve for x
    x = 264,412.84/554.92
  6. Step 6: Final answer
    x = 476.49

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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.