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Finding the Fourth Proportional to 581.40, 802.02 and 348.48

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Solution

The fourth proportional to 581.40, 802.02 and 348.48 is: 480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.40 : 802.02 = 348.48 : x
  2. Step 2: Convert to fraction form
    581.40/802.02 = 348.48/x
  3. Step 3: Cross multiply
    581.40x = 802.02 × 348.48
  4. Step 4: Simplify right side
    581.40x = 279,487.93
  5. Step 5: Solve for x
    x = 279,487.93/581.40
  6. Step 6: Final answer
    x = 480.72

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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.