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Finding the Fourth Proportional to 584.43, 875.73 and 497.40

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Solution

The fourth proportional to 584.43, 875.73 and 497.40 is: 745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.43 : 875.73 = 497.40 : x
  2. Step 2: Convert to fraction form
    584.43/875.73 = 497.40/x
  3. Step 3: Cross multiply
    584.43x = 875.73 × 497.40
  4. Step 4: Simplify right side
    584.43x = 435,588.10
  5. Step 5: Solve for x
    x = 435,588.10/584.43
  6. Step 6: Final answer
    x = 745.32

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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.