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Finding the Fourth Proportional to 593.02, 893.54 and 492.55

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Solution

The fourth proportional to 593.02, 893.54 and 492.55 is: 742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.02 : 893.54 = 492.55 : x
  2. Step 2: Convert to fraction form
    593.02/893.54 = 492.55/x
  3. Step 3: Cross multiply
    593.02x = 893.54 × 492.55
  4. Step 4: Simplify right side
    593.02x = 440,116.59
  5. Step 5: Solve for x
    x = 440,116.59/593.02
  6. Step 6: Final answer
    x = 742.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.