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Finding the Fourth Proportional to 522.15, 721.59 and 466.79

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Solution

The fourth proportional to 522.15, 721.59 and 466.79 is: 645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.15 : 721.59 = 466.79 : x
  2. Step 2: Convert to fraction form
    522.15/721.59 = 466.79/x
  3. Step 3: Cross multiply
    522.15x = 721.59 × 466.79
  4. Step 4: Simplify right side
    522.15x = 336,831.00
  5. Step 5: Solve for x
    x = 336,831.00/522.15
  6. Step 6: Final answer
    x = 645.08

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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.