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Finding the Fourth Proportional to 503.15, 692.67 and 432.92

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Solution

The fourth proportional to 503.15, 692.67 and 432.92 is: 595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.15 : 692.67 = 432.92 : x
  2. Step 2: Convert to fraction form
    503.15/692.67 = 432.92/x
  3. Step 3: Cross multiply
    503.15x = 692.67 × 432.92
  4. Step 4: Simplify right side
    503.15x = 299,872.92
  5. Step 5: Solve for x
    x = 299,872.92/503.15
  6. Step 6: Final answer
    x = 595.99

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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.