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Finding the Fourth Proportional to 707.17, 975.95 and 392.46

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Solution

The fourth proportional to 707.17, 975.95 and 392.46 is: 541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.17 : 975.95 = 392.46 : x
  2. Step 2: Convert to fraction form
    707.17/975.95 = 392.46/x
  3. Step 3: Cross multiply
    707.17x = 975.95 × 392.46
  4. Step 4: Simplify right side
    707.17x = 383,022.68
  5. Step 5: Solve for x
    x = 383,022.68/707.17
  6. Step 6: Final answer
    x = 541.63

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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.