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Finding the Fourth Proportional to 540.04, 808.58 and 283

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Solution

The fourth proportional to 540.04, 808.58 and 283 is: 423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.04 : 808.58 = 283 : x
  2. Step 2: Convert to fraction form
    540.04/808.58 = 283/x
  3. Step 3: Cross multiply
    540.04x = 808.58 × 283
  4. Step 4: Simplify right side
    540.04x = 228,828.14
  5. Step 5: Solve for x
    x = 228,828.14/540.04
  6. Step 6: Final answer
    x = 423.72

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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.