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Finding the Fourth Proportional to 707.95, 976.44 and 459.28

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Solution

The fourth proportional to 707.95, 976.44 and 459.28 is: 633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.95 : 976.44 = 459.28 : x
  2. Step 2: Convert to fraction form
    707.95/976.44 = 459.28/x
  3. Step 3: Cross multiply
    707.95x = 976.44 × 459.28
  4. Step 4: Simplify right side
    707.95x = 448,459.36
  5. Step 5: Solve for x
    x = 448,459.36/707.95
  6. Step 6: Final answer
    x = 633.46

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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.