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Finding the Fourth Proportional to 420.54, 578.52 and 370.50

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Solution

The fourth proportional to 420.54, 578.52 and 370.50 is: 509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.54 : 578.52 = 370.50 : x
  2. Step 2: Convert to fraction form
    420.54/578.52 = 370.50/x
  3. Step 3: Cross multiply
    420.54x = 578.52 × 370.50
  4. Step 4: Simplify right side
    420.54x = 214,341.66
  5. Step 5: Solve for x
    x = 214,341.66/420.54
  6. Step 6: Final answer
    x = 509.68

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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.