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Finding the Fourth Proportional to 583.81, 805.76 and 457.52

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Solution

The fourth proportional to 583.81, 805.76 and 457.52 is: 631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.81 : 805.76 = 457.52 : x
  2. Step 2: Convert to fraction form
    583.81/805.76 = 457.52/x
  3. Step 3: Cross multiply
    583.81x = 805.76 × 457.52
  4. Step 4: Simplify right side
    583.81x = 368,651.32
  5. Step 5: Solve for x
    x = 368,651.32/583.81
  6. Step 6: Final answer
    x = 631.46

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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.