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Finding the Fourth Proportional to 581.73, 802.49 and 384.90

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Solution

The fourth proportional to 581.73, 802.49 and 384.90 is: 530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.73 : 802.49 = 384.90 : x
  2. Step 2: Convert to fraction form
    581.73/802.49 = 384.90/x
  3. Step 3: Cross multiply
    581.73x = 802.49 × 384.90
  4. Step 4: Simplify right side
    581.73x = 308,878.40
  5. Step 5: Solve for x
    x = 308,878.40/581.73
  6. Step 6: Final answer
    x = 530.97

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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.