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Finding the Fourth Proportional to 530.50, 732.51 and 420.55

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Solution

The fourth proportional to 530.50, 732.51 and 420.55 is: 580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.50 : 732.51 = 420.55 : x
  2. Step 2: Convert to fraction form
    530.50/732.51 = 420.55/x
  3. Step 3: Cross multiply
    530.50x = 732.51 × 420.55
  4. Step 4: Simplify right side
    530.50x = 308,057.08
  5. Step 5: Solve for x
    x = 308,057.08/530.50
  6. Step 6: Final answer
    x = 580.69

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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.