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Finding the Fourth Proportional to 581.84, 802.20 and 415.76

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Solution

The fourth proportional to 581.84, 802.20 and 415.76 is: 573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.84 : 802.20 = 415.76 : x
  2. Step 2: Convert to fraction form
    581.84/802.20 = 415.76/x
  3. Step 3: Cross multiply
    581.84x = 802.20 × 415.76
  4. Step 4: Simplify right side
    581.84x = 333,522.67
  5. Step 5: Solve for x
    x = 333,522.67/581.84
  6. Step 6: Final answer
    x = 573.22

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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.