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Finding the Fourth Proportional to 522.95, 721.23 and 440.25

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Solution

The fourth proportional to 522.95, 721.23 and 440.25 is: 607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.95 : 721.23 = 440.25 : x
  2. Step 2: Convert to fraction form
    522.95/721.23 = 440.25/x
  3. Step 3: Cross multiply
    522.95x = 721.23 × 440.25
  4. Step 4: Simplify right side
    522.95x = 317,521.51
  5. Step 5: Solve for x
    x = 317,521.51/522.95
  6. Step 6: Final answer
    x = 607.18

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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.