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Finding the Fourth Proportional to 530.59, 795.90 and 242.03

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Solution

The fourth proportional to 530.59, 795.90 and 242.03 is: 363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.59 : 795.90 = 242.03 : x
  2. Step 2: Convert to fraction form
    530.59/795.90 = 242.03/x
  3. Step 3: Cross multiply
    530.59x = 795.90 × 242.03
  4. Step 4: Simplify right side
    530.59x = 192,631.68
  5. Step 5: Solve for x
    x = 192,631.68/530.59
  6. Step 6: Final answer
    x = 363.05

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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.