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Finding the Fourth Proportional to 420.90, 580.95 and 377.16

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Solution

The fourth proportional to 420.90, 580.95 and 377.16 is: 520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.90 : 580.95 = 377.16 : x
  2. Step 2: Convert to fraction form
    420.90/580.95 = 377.16/x
  3. Step 3: Cross multiply
    420.90x = 580.95 × 377.16
  4. Step 4: Simplify right side
    420.90x = 219,111.10
  5. Step 5: Solve for x
    x = 219,111.10/420.90
  6. Step 6: Final answer
    x = 520.58

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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.