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Finding the Fourth Proportional to 555.90, 833.04 and 312.50

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Solution

The fourth proportional to 555.90, 833.04 and 312.50 is: 468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.90 : 833.04 = 312.50 : x
  2. Step 2: Convert to fraction form
    555.90/833.04 = 312.50/x
  3. Step 3: Cross multiply
    555.90x = 833.04 × 312.50
  4. Step 4: Simplify right side
    555.90x = 260,325
  5. Step 5: Solve for x
    x = 260,325/555.90
  6. Step 6: Final answer
    x = 468.29

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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.