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Finding the Fourth Proportional to 581.52, 802.14 and 385.08

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Solution

The fourth proportional to 581.52, 802.14 and 385.08 is: 531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.52 : 802.14 = 385.08 : x
  2. Step 2: Convert to fraction form
    581.52/802.14 = 385.08/x
  3. Step 3: Cross multiply
    581.52x = 802.14 × 385.08
  4. Step 4: Simplify right side
    581.52x = 308,888.07
  5. Step 5: Solve for x
    x = 308,888.07/581.52
  6. Step 6: Final answer
    x = 531.17

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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.