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Finding the Fourth Proportional to 530.80, 732.54 and 321.01

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Solution

The fourth proportional to 530.80, 732.54 and 321.01 is: 443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.80 : 732.54 = 321.01 : x
  2. Step 2: Convert to fraction form
    530.80/732.54 = 321.01/x
  3. Step 3: Cross multiply
    530.80x = 732.54 × 321.01
  4. Step 4: Simplify right side
    530.80x = 235,156.16
  5. Step 5: Solve for x
    x = 235,156.16/530.80
  6. Step 6: Final answer
    x = 443.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.