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Finding the Fourth Proportional to 581.78, 802.50 and 416.18

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Solution

The fourth proportional to 581.78, 802.50 and 416.18 is: 574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.78 : 802.50 = 416.18 : x
  2. Step 2: Convert to fraction form
    581.78/802.50 = 416.18/x
  3. Step 3: Cross multiply
    581.78x = 802.50 × 416.18
  4. Step 4: Simplify right side
    581.78x = 333,984.45
  5. Step 5: Solve for x
    x = 333,984.45/581.78
  6. Step 6: Final answer
    x = 574.07

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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.