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Finding the Fourth Proportional to 707.04, 975.51 and 412.29

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Solution

The fourth proportional to 707.04, 975.51 and 412.29 is: 568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.04 : 975.51 = 412.29 : x
  2. Step 2: Convert to fraction form
    707.04/975.51 = 412.29/x
  3. Step 3: Cross multiply
    707.04x = 975.51 × 412.29
  4. Step 4: Simplify right side
    707.04x = 402,193.02
  5. Step 5: Solve for x
    x = 402,193.02/707.04
  6. Step 6: Final answer
    x = 568.84

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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.