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Finding the Fourth Proportional to 706.64, 975.16 and 396.14

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Solution

The fourth proportional to 706.64, 975.16 and 396.14 is: 546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.64 : 975.16 = 396.14 : x
  2. Step 2: Convert to fraction form
    706.64/975.16 = 396.14/x
  3. Step 3: Cross multiply
    706.64x = 975.16 × 396.14
  4. Step 4: Simplify right side
    706.64x = 386,302.10
  5. Step 5: Solve for x
    x = 386,302.10/706.64
  6. Step 6: Final answer
    x = 546.67

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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.