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Finding the Fourth Proportional to 614.51, 848.12 and 365.95

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Solution

The fourth proportional to 614.51, 848.12 and 365.95 is: 505.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.51 : 848.12 = 365.95 : x
  2. Step 2: Convert to fraction form
    614.51/848.12 = 365.95/x
  3. Step 3: Cross multiply
    614.51x = 848.12 × 365.95
  4. Step 4: Simplify right side
    614.51x = 310,369.51
  5. Step 5: Solve for x
    x = 310,369.51/614.51
  6. Step 6: Final answer
    x = 505.07

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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.