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Finding the Fourth Proportional to 530.27, 731.54 and 355.67

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Solution

The fourth proportional to 530.27, 731.54 and 355.67 is: 490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.27 : 731.54 = 355.67 : x
  2. Step 2: Convert to fraction form
    530.27/731.54 = 355.67/x
  3. Step 3: Cross multiply
    530.27x = 731.54 × 355.67
  4. Step 4: Simplify right side
    530.27x = 260,181.40
  5. Step 5: Solve for x
    x = 260,181.40/530.27
  6. Step 6: Final answer
    x = 490.66

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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.