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Finding the Fourth Proportional to 581.65, 802.05 and 415.80

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Solution

The fourth proportional to 581.65, 802.05 and 415.80 is: 573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.65 : 802.05 = 415.80 : x
  2. Step 2: Convert to fraction form
    581.65/802.05 = 415.80/x
  3. Step 3: Cross multiply
    581.65x = 802.05 × 415.80
  4. Step 4: Simplify right side
    581.65x = 333,492.39
  5. Step 5: Solve for x
    x = 333,492.39/581.65
  6. Step 6: Final answer
    x = 573.36

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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.