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Finding the Fourth Proportional to 707.29, 976.07 and 412.57

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Solution

The fourth proportional to 707.29, 976.07 and 412.57 is: 569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.29 : 976.07 = 412.57 : x
  2. Step 2: Convert to fraction form
    707.29/976.07 = 412.57/x
  3. Step 3: Cross multiply
    707.29x = 976.07 × 412.57
  4. Step 4: Simplify right side
    707.29x = 402,697.20
  5. Step 5: Solve for x
    x = 402,697.20/707.29
  6. Step 6: Final answer
    x = 569.35

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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.