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Finding the Fourth Proportional to 419.76, 580.48 and 358.48

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Solution

The fourth proportional to 419.76, 580.48 and 358.48 is: 495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 580.48 = 358.48 : x
  2. Step 2: Convert to fraction form
    419.76/580.48 = 358.48/x
  3. Step 3: Cross multiply
    419.76x = 580.48 × 358.48
  4. Step 4: Simplify right side
    419.76x = 208,090.47
  5. Step 5: Solve for x
    x = 208,090.47/419.76
  6. Step 6: Final answer
    x = 495.74

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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.