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Finding the Fourth Proportional to 707.37, 976.16 and 412.67

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Solution

The fourth proportional to 707.37, 976.16 and 412.67 is: 569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.37 : 976.16 = 412.67 : x
  2. Step 2: Convert to fraction form
    707.37/976.16 = 412.67/x
  3. Step 3: Cross multiply
    707.37x = 976.16 × 412.67
  4. Step 4: Simplify right side
    707.37x = 402,825.00
  5. Step 5: Solve for x
    x = 402,825.00/707.37
  6. Step 6: Final answer
    x = 569.47

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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.