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Finding the Fourth Proportional to 515.23, 710.98 and 305.37

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Solution

The fourth proportional to 515.23, 710.98 and 305.37 is: 421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.23 : 710.98 = 305.37 : x
  2. Step 2: Convert to fraction form
    515.23/710.98 = 305.37/x
  3. Step 3: Cross multiply
    515.23x = 710.98 × 305.37
  4. Step 4: Simplify right side
    515.23x = 217,111.20
  5. Step 5: Solve for x
    x = 217,111.20/515.23
  6. Step 6: Final answer
    x = 421.39

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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.