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Finding the Fourth Proportional to 530.50, 735.22 and 522.40

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Solution

The fourth proportional to 530.50, 735.22 and 522.40 is: 723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.50 : 735.22 = 522.40 : x
  2. Step 2: Convert to fraction form
    530.50/735.22 = 522.40/x
  3. Step 3: Cross multiply
    530.50x = 735.22 × 522.40
  4. Step 4: Simplify right side
    530.50x = 384,078.93
  5. Step 5: Solve for x
    x = 384,078.93/530.50
  6. Step 6: Final answer
    x = 723.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.