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Finding the Fourth Proportional to 498.90, 688.05 and 368.22

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Solution

The fourth proportional to 498.90, 688.05 and 368.22 is: 507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.90 : 688.05 = 368.22 : x
  2. Step 2: Convert to fraction form
    498.90/688.05 = 368.22/x
  3. Step 3: Cross multiply
    498.90x = 688.05 × 368.22
  4. Step 4: Simplify right side
    498.90x = 253,353.77
  5. Step 5: Solve for x
    x = 253,353.77/498.90
  6. Step 6: Final answer
    x = 507.82

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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.