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Finding the Fourth Proportional to 491.46, 735.54 and 368.88

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Solution

The fourth proportional to 491.46, 735.54 and 368.88 is: 552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.46 : 735.54 = 368.88 : x
  2. Step 2: Convert to fraction form
    491.46/735.54 = 368.88/x
  3. Step 3: Cross multiply
    491.46x = 735.54 × 368.88
  4. Step 4: Simplify right side
    491.46x = 271,326.00
  5. Step 5: Solve for x
    x = 271,326.00/491.46
  6. Step 6: Final answer
    x = 552.08

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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.