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Finding the Fourth Proportional to 535.40, 802.78 and 261.93

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Solution

The fourth proportional to 535.40, 802.78 and 261.93 is: 392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.40 : 802.78 = 261.93 : x
  2. Step 2: Convert to fraction form
    535.40/802.78 = 261.93/x
  3. Step 3: Cross multiply
    535.40x = 802.78 × 261.93
  4. Step 4: Simplify right side
    535.40x = 210,271.51
  5. Step 5: Solve for x
    x = 210,271.51/535.40
  6. Step 6: Final answer
    x = 392.74

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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.