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Finding the Fourth Proportional to 583.17, 805.14 and 435.54

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Solution

The fourth proportional to 583.17, 805.14 and 435.54 is: 601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.17 : 805.14 = 435.54 : x
  2. Step 2: Convert to fraction form
    583.17/805.14 = 435.54/x
  3. Step 3: Cross multiply
    583.17x = 805.14 × 435.54
  4. Step 4: Simplify right side
    583.17x = 350,670.68
  5. Step 5: Solve for x
    x = 350,670.68/583.17
  6. Step 6: Final answer
    x = 601.32

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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.