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Finding the Fourth Proportional to 462.74, 692.85 and 354.02

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Solution

The fourth proportional to 462.74, 692.85 and 354.02 is: 530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.74 : 692.85 = 354.02 : x
  2. Step 2: Convert to fraction form
    462.74/692.85 = 354.02/x
  3. Step 3: Cross multiply
    462.74x = 692.85 × 354.02
  4. Step 4: Simplify right side
    462.74x = 245,282.76
  5. Step 5: Solve for x
    x = 245,282.76/462.74
  6. Step 6: Final answer
    x = 530.07

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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.