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Finding the Fourth Proportional to 581.45, 802.35 and 345.38

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Solution

The fourth proportional to 581.45, 802.35 and 345.38 is: 476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.45 : 802.35 = 345.38 : x
  2. Step 2: Convert to fraction form
    581.45/802.35 = 345.38/x
  3. Step 3: Cross multiply
    581.45x = 802.35 × 345.38
  4. Step 4: Simplify right side
    581.45x = 277,115.64
  5. Step 5: Solve for x
    x = 277,115.64/581.45
  6. Step 6: Final answer
    x = 476.59

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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.