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Finding the Fourth Proportional to 583.07, 805.01 and 362.25

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Solution

The fourth proportional to 583.07, 805.01 and 362.25 is: 500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.07 : 805.01 = 362.25 : x
  2. Step 2: Convert to fraction form
    583.07/805.01 = 362.25/x
  3. Step 3: Cross multiply
    583.07x = 805.01 × 362.25
  4. Step 4: Simplify right side
    583.07x = 291,613.06
  5. Step 5: Solve for x
    x = 291,613.06/583.07
  6. Step 6: Final answer
    x = 500.14

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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.