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Finding the Fourth Proportional to 512.58, 706.62 and 407.72

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Solution

The fourth proportional to 512.58, 706.62 and 407.72 is: 562.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 706.62 = 407.72 : x
  2. Step 2: Convert to fraction form
    512.58/706.62 = 407.72/x
  3. Step 3: Cross multiply
    512.58x = 706.62 × 407.72
  4. Step 4: Simplify right side
    512.58x = 288,101.10
  5. Step 5: Solve for x
    x = 288,101.10/512.58
  6. Step 6: Final answer
    x = 562.06

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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.