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Finding the Fourth Proportional to 710.08, 1,065.20 and 277.36

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Solution

The fourth proportional to 710.08, 1,065.20 and 277.36 is: 416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.08 : 1,065.20 = 277.36 : x
  2. Step 2: Convert to fraction form
    710.08/1,065.20 = 277.36/x
  3. Step 3: Cross multiply
    710.08x = 1,065.20 × 277.36
  4. Step 4: Simplify right side
    710.08x = 295,443.87
  5. Step 5: Solve for x
    x = 295,443.87/710.08
  6. Step 6: Final answer
    x = 416.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.