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Finding the Fourth Proportional to 583.88, 875.78 and 497.00

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Solution

The fourth proportional to 583.88, 875.78 and 497.00 is: 745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.88 : 875.78 = 497.00 : x
  2. Step 2: Convert to fraction form
    583.88/875.78 = 497.00/x
  3. Step 3: Cross multiply
    583.88x = 875.78 × 497.00
  4. Step 4: Simplify right side
    583.88x = 435,264.23
  5. Step 5: Solve for x
    x = 435,264.23/583.88
  6. Step 6: Final answer
    x = 745.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.