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Finding the Fourth Proportional to 583.04, 869.84 and 567.68

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Solution

The fourth proportional to 583.04, 869.84 and 567.68 is: 846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.04 : 869.84 = 567.68 : x
  2. Step 2: Convert to fraction form
    583.04/869.84 = 567.68/x
  3. Step 3: Cross multiply
    583.04x = 869.84 × 567.68
  4. Step 4: Simplify right side
    583.04x = 493,790.77
  5. Step 5: Solve for x
    x = 493,790.77/583.04
  6. Step 6: Final answer
    x = 846.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.