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Finding the Fourth Proportional to 522.06, 721.14 and 485.16

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Solution

The fourth proportional to 522.06, 721.14 and 485.16 is: 670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.06 : 721.14 = 485.16 : x
  2. Step 2: Convert to fraction form
    522.06/721.14 = 485.16/x
  3. Step 3: Cross multiply
    522.06x = 721.14 × 485.16
  4. Step 4: Simplify right side
    522.06x = 349,864.68
  5. Step 5: Solve for x
    x = 349,864.68/522.06
  6. Step 6: Final answer
    x = 670.17

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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.