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Finding the Fourth Proportional to 706.51, 975.05 and 411.76

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Solution

The fourth proportional to 706.51, 975.05 and 411.76 is: 568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.51 : 975.05 = 411.76 : x
  2. Step 2: Convert to fraction form
    706.51/975.05 = 411.76/x
  3. Step 3: Cross multiply
    706.51x = 975.05 × 411.76
  4. Step 4: Simplify right side
    706.51x = 401,484.53
  5. Step 5: Solve for x
    x = 401,484.53/706.51
  6. Step 6: Final answer
    x = 568.26

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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.