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Finding the Fourth Proportional to 530.34, 794.40 and 512

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Solution

The fourth proportional to 530.34, 794.40 and 512 is: 766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.34 : 794.40 = 512 : x
  2. Step 2: Convert to fraction form
    530.34/794.40 = 512/x
  3. Step 3: Cross multiply
    530.34x = 794.40 × 512
  4. Step 4: Simplify right side
    530.34x = 406,732.80
  5. Step 5: Solve for x
    x = 406,732.80/530.34
  6. Step 6: Final answer
    x = 766.93

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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.