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Finding the Fourth Proportional to 715.13, 986.55 and 420.26

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Solution

The fourth proportional to 715.13, 986.55 and 420.26 is: 579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.13 : 986.55 = 420.26 : x
  2. Step 2: Convert to fraction form
    715.13/986.55 = 420.26/x
  3. Step 3: Cross multiply
    715.13x = 986.55 × 420.26
  4. Step 4: Simplify right side
    715.13x = 414,607.50
  5. Step 5: Solve for x
    x = 414,607.50/715.13
  6. Step 6: Final answer
    x = 579.77

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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.