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Finding the Fourth Proportional to 420.40, 580.14 and 265

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Solution

The fourth proportional to 420.40, 580.14 and 265 is: 365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.40 : 580.14 = 265 : x
  2. Step 2: Convert to fraction form
    420.40/580.14 = 265/x
  3. Step 3: Cross multiply
    420.40x = 580.14 × 265
  4. Step 4: Simplify right side
    420.40x = 153,737.10
  5. Step 5: Solve for x
    x = 153,737.10/420.40
  6. Step 6: Final answer
    x = 365.69

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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.