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Finding the Fourth Proportional to 614.94, 848.53 and 405.20

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Solution

The fourth proportional to 614.94, 848.53 and 405.20 is: 559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.94 : 848.53 = 405.20 : x
  2. Step 2: Convert to fraction form
    614.94/848.53 = 405.20/x
  3. Step 3: Cross multiply
    614.94x = 848.53 × 405.20
  4. Step 4: Simplify right side
    614.94x = 343,824.70
  5. Step 5: Solve for x
    x = 343,824.70/614.94
  6. Step 6: Final answer
    x = 559.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.