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Finding the Fourth Proportional to 583.71, 805.80 and 457.45

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Solution

The fourth proportional to 583.71, 805.80 and 457.45 is: 631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.71 : 805.80 = 457.45 : x
  2. Step 2: Convert to fraction form
    583.71/805.80 = 457.45/x
  3. Step 3: Cross multiply
    583.71x = 805.80 × 457.45
  4. Step 4: Simplify right side
    583.71x = 368,613.23
  5. Step 5: Solve for x
    x = 368,613.23/583.71
  6. Step 6: Final answer
    x = 631.50

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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.