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Finding the Fourth Proportional to 710.24, 1,064.64 and 277.28

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Solution

The fourth proportional to 710.24, 1,064.64 and 277.28 is: 415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.24 : 1,064.64 = 277.28 : x
  2. Step 2: Convert to fraction form
    710.24/1,064.64 = 277.28/x
  3. Step 3: Cross multiply
    710.24x = 1,064.64 × 277.28
  4. Step 4: Simplify right side
    710.24x = 295,203.38
  5. Step 5: Solve for x
    x = 295,203.38/710.24
  6. Step 6: Final answer
    x = 415.64

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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.