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Finding the Fourth Proportional to 571.35, 852.84 and 522.66

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Solution

The fourth proportional to 571.35, 852.84 and 522.66 is: 780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.35 : 852.84 = 522.66 : x
  2. Step 2: Convert to fraction form
    571.35/852.84 = 522.66/x
  3. Step 3: Cross multiply
    571.35x = 852.84 × 522.66
  4. Step 4: Simplify right side
    571.35x = 445,746.74
  5. Step 5: Solve for x
    x = 445,746.74/571.35
  6. Step 6: Final answer
    x = 780.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.