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Finding the Fourth Proportional to 493.24, 740.10 and 436.60

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Solution

The fourth proportional to 493.24, 740.10 and 436.60 is: 655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.24 : 740.10 = 436.60 : x
  2. Step 2: Convert to fraction form
    493.24/740.10 = 436.60/x
  3. Step 3: Cross multiply
    493.24x = 740.10 × 436.60
  4. Step 4: Simplify right side
    493.24x = 323,127.66
  5. Step 5: Solve for x
    x = 323,127.66/493.24
  6. Step 6: Final answer
    x = 655.11

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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.