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Finding the Fourth Proportional to 498.83, 688.46 and 368.19

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Solution

The fourth proportional to 498.83, 688.46 and 368.19 is: 508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.83 : 688.46 = 368.19 : x
  2. Step 2: Convert to fraction form
    498.83/688.46 = 368.19/x
  3. Step 3: Cross multiply
    498.83x = 688.46 × 368.19
  4. Step 4: Simplify right side
    498.83x = 253,482.25
  5. Step 5: Solve for x
    x = 253,482.25/498.83
  6. Step 6: Final answer
    x = 508.16

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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.