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Finding the Fourth Proportional to 580.92, 802.08 and 384.77

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Solution

The fourth proportional to 580.92, 802.08 and 384.77 is: 531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.92 : 802.08 = 384.77 : x
  2. Step 2: Convert to fraction form
    580.92/802.08 = 384.77/x
  3. Step 3: Cross multiply
    580.92x = 802.08 × 384.77
  4. Step 4: Simplify right side
    580.92x = 308,612.31
  5. Step 5: Solve for x
    x = 308,612.31/580.92
  6. Step 6: Final answer
    x = 531.25

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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.