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Finding the Fourth Proportional to 614.16, 920.16 and 522

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Solution

The fourth proportional to 614.16, 920.16 and 522 is: 782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.16 : 920.16 = 522 : x
  2. Step 2: Convert to fraction form
    614.16/920.16 = 522/x
  3. Step 3: Cross multiply
    614.16x = 920.16 × 522
  4. Step 4: Simplify right side
    614.16x = 480,323.52
  5. Step 5: Solve for x
    x = 480,323.52/614.16
  6. Step 6: Final answer
    x = 782.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.