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Finding the Fourth Proportional to 491.47, 737.60 and 433.82

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Solution

The fourth proportional to 491.47, 737.60 and 433.82 is: 651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.47 : 737.60 = 433.82 : x
  2. Step 2: Convert to fraction form
    491.47/737.60 = 433.82/x
  3. Step 3: Cross multiply
    491.47x = 737.60 × 433.82
  4. Step 4: Simplify right side
    491.47x = 319,985.31
  5. Step 5: Solve for x
    x = 319,985.31/491.47
  6. Step 6: Final answer
    x = 651.08

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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.