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Finding the Fourth Proportional to 429.02, 591.80 and 263.10

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Solution

The fourth proportional to 429.02, 591.80 and 263.10 is: 362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.02 : 591.80 = 263.10 : x
  2. Step 2: Convert to fraction form
    429.02/591.80 = 263.10/x
  3. Step 3: Cross multiply
    429.02x = 591.80 × 263.10
  4. Step 4: Simplify right side
    429.02x = 155,701.26
  5. Step 5: Solve for x
    x = 155,701.26/429.02
  6. Step 6: Final answer
    x = 362.93

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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.