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Finding the Fourth Proportional to 707.16, 975.86 and 392.44

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Solution

The fourth proportional to 707.16, 975.86 and 392.44 is: 541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.16 : 975.86 = 392.44 : x
  2. Step 2: Convert to fraction form
    707.16/975.86 = 392.44/x
  3. Step 3: Cross multiply
    707.16x = 975.86 × 392.44
  4. Step 4: Simplify right side
    707.16x = 382,962.10
  5. Step 5: Solve for x
    x = 382,962.10/707.16
  6. Step 6: Final answer
    x = 541.55

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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.