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Finding the Fourth Proportional to 614.27, 848.29 and 525.23

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Solution

The fourth proportional to 614.27, 848.29 and 525.23 is: 725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.27 : 848.29 = 525.23 : x
  2. Step 2: Convert to fraction form
    614.27/848.29 = 525.23/x
  3. Step 3: Cross multiply
    614.27x = 848.29 × 525.23
  4. Step 4: Simplify right side
    614.27x = 445,547.36
  5. Step 5: Solve for x
    x = 445,547.36/614.27
  6. Step 6: Final answer
    x = 725.33

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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.