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Finding the Fourth Proportional to 583.01, 804.54 and 346.90

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Solution

The fourth proportional to 583.01, 804.54 and 346.90 is: 478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.01 : 804.54 = 346.90 : x
  2. Step 2: Convert to fraction form
    583.01/804.54 = 346.90/x
  3. Step 3: Cross multiply
    583.01x = 804.54 × 346.90
  4. Step 4: Simplify right side
    583.01x = 279,096.21
  5. Step 5: Solve for x
    x = 279,096.21/583.01
  6. Step 6: Final answer
    x = 478.72

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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.