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Finding the Fourth Proportional to 706.30, 974.46 and 407.53

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Solution

The fourth proportional to 706.30, 974.46 and 407.53 is: 562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.30 : 974.46 = 407.53 : x
  2. Step 2: Convert to fraction form
    706.30/974.46 = 407.53/x
  3. Step 3: Cross multiply
    706.30x = 974.46 × 407.53
  4. Step 4: Simplify right side
    706.30x = 397,116.81
  5. Step 5: Solve for x
    x = 397,116.81/706.30
  6. Step 6: Final answer
    x = 562.25

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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.