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Finding the Fourth Proportional to 707.67, 976.28 and 468.36

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Solution

The fourth proportional to 707.67, 976.28 and 468.36 is: 646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.67 : 976.28 = 468.36 : x
  2. Step 2: Convert to fraction form
    707.67/976.28 = 468.36/x
  3. Step 3: Cross multiply
    707.67x = 976.28 × 468.36
  4. Step 4: Simplify right side
    707.67x = 457,248.16
  5. Step 5: Solve for x
    x = 457,248.16/707.67
  6. Step 6: Final answer
    x = 646.13

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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.