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Finding the Fourth Proportional to 707.11, 975.82 and 412.41

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Solution

The fourth proportional to 707.11, 975.82 and 412.41 is: 569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.11 : 975.82 = 412.41 : x
  2. Step 2: Convert to fraction form
    707.11/975.82 = 412.41/x
  3. Step 3: Cross multiply
    707.11x = 975.82 × 412.41
  4. Step 4: Simplify right side
    707.11x = 402,437.93
  5. Step 5: Solve for x
    x = 402,437.93/707.11
  6. Step 6: Final answer
    x = 569.13

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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.