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Finding the Fourth Proportional to 581.89, 802.33 and 416.05

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Solution

The fourth proportional to 581.89, 802.33 and 416.05 is: 573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.89 : 802.33 = 416.05 : x
  2. Step 2: Convert to fraction form
    581.89/802.33 = 416.05/x
  3. Step 3: Cross multiply
    581.89x = 802.33 × 416.05
  4. Step 4: Simplify right side
    581.89x = 333,809.40
  5. Step 5: Solve for x
    x = 333,809.40/581.89
  6. Step 6: Final answer
    x = 573.66

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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.