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Finding the Fourth Proportional to 512.47, 705.98 and 407.53

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Solution

The fourth proportional to 512.47, 705.98 and 407.53 is: 561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.47 : 705.98 = 407.53 : x
  2. Step 2: Convert to fraction form
    512.47/705.98 = 407.53/x
  3. Step 3: Cross multiply
    512.47x = 705.98 × 407.53
  4. Step 4: Simplify right side
    512.47x = 287,704.23
  5. Step 5: Solve for x
    x = 287,704.23/512.47
  6. Step 6: Final answer
    x = 561.41

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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.