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Finding the Fourth Proportional to 707.19, 975.58 and 412.26

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Solution

The fourth proportional to 707.19, 975.58 and 412.26 is: 568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.19 : 975.58 = 412.26 : x
  2. Step 2: Convert to fraction form
    707.19/975.58 = 412.26/x
  3. Step 3: Cross multiply
    707.19x = 975.58 × 412.26
  4. Step 4: Simplify right side
    707.19x = 402,192.61
  5. Step 5: Solve for x
    x = 402,192.61/707.19
  6. Step 6: Final answer
    x = 568.72

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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.