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Finding the Fourth Proportional to 530.55, 794.79 and 347.38

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Solution

The fourth proportional to 530.55, 794.79 and 347.38 is: 520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.55 : 794.79 = 347.38 : x
  2. Step 2: Convert to fraction form
    530.55/794.79 = 347.38/x
  3. Step 3: Cross multiply
    530.55x = 794.79 × 347.38
  4. Step 4: Simplify right side
    530.55x = 276,094.15
  5. Step 5: Solve for x
    x = 276,094.15/530.55
  6. Step 6: Final answer
    x = 520.39

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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.