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Finding the Fourth Proportional to 535.32, 802.18 and 389.35

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Solution

The fourth proportional to 535.32, 802.18 and 389.35 is: 583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.32 : 802.18 = 389.35 : x
  2. Step 2: Convert to fraction form
    535.32/802.18 = 389.35/x
  3. Step 3: Cross multiply
    535.32x = 802.18 × 389.35
  4. Step 4: Simplify right side
    535.32x = 312,322.83
  5. Step 5: Solve for x
    x = 312,322.83/535.32
  6. Step 6: Final answer
    x = 583.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.