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Finding the Fourth Proportional to 707.02, 975.38 and 441.28

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Solution

The fourth proportional to 707.02, 975.38 and 441.28 is: 608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.02 : 975.38 = 441.28 : x
  2. Step 2: Convert to fraction form
    707.02/975.38 = 441.28/x
  3. Step 3: Cross multiply
    707.02x = 975.38 × 441.28
  4. Step 4: Simplify right side
    707.02x = 430,415.69
  5. Step 5: Solve for x
    x = 430,415.69/707.02
  6. Step 6: Final answer
    x = 608.77

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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.