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Finding the Fourth Proportional to 595.51, 892.92 and 286.95

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Solution

The fourth proportional to 595.51, 892.92 and 286.95 is: 430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.51 : 892.92 = 286.95 : x
  2. Step 2: Convert to fraction form
    595.51/892.92 = 286.95/x
  3. Step 3: Cross multiply
    595.51x = 892.92 × 286.95
  4. Step 4: Simplify right side
    595.51x = 256,223.39
  5. Step 5: Solve for x
    x = 256,223.39/595.51
  6. Step 6: Final answer
    x = 430.26

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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.