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Finding the Fourth Proportional to 530.44, 795.69 and 523.30

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Solution

The fourth proportional to 530.44, 795.69 and 523.30 is: 784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.44 : 795.69 = 523.30 : x
  2. Step 2: Convert to fraction form
    530.44/795.69 = 523.30/x
  3. Step 3: Cross multiply
    530.44x = 795.69 × 523.30
  4. Step 4: Simplify right side
    530.44x = 416,384.58
  5. Step 5: Solve for x
    x = 416,384.58/530.44
  6. Step 6: Final answer
    x = 784.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.