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Finding the Fourth Proportional to 581.07, 802.09 and 384.65

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Solution

The fourth proportional to 581.07, 802.09 and 384.65 is: 530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.07 : 802.09 = 384.65 : x
  2. Step 2: Convert to fraction form
    581.07/802.09 = 384.65/x
  3. Step 3: Cross multiply
    581.07x = 802.09 × 384.65
  4. Step 4: Simplify right side
    581.07x = 308,517.98
  5. Step 5: Solve for x
    x = 308,517.98/581.07
  6. Step 6: Final answer
    x = 530.95

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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.