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Finding the Fourth Proportional to 530.22, 798.44 and 462.56

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Solution

The fourth proportional to 530.22, 798.44 and 462.56 is: 696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.22 : 798.44 = 462.56 : x
  2. Step 2: Convert to fraction form
    530.22/798.44 = 462.56/x
  3. Step 3: Cross multiply
    530.22x = 798.44 × 462.56
  4. Step 4: Simplify right side
    530.22x = 369,323.57
  5. Step 5: Solve for x
    x = 369,323.57/530.22
  6. Step 6: Final answer
    x = 696.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.