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Finding the Fourth Proportional to 462.06, 692.19 and 354.06

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Solution

The fourth proportional to 462.06, 692.19 and 354.06 is: 530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.06 : 692.19 = 354.06 : x
  2. Step 2: Convert to fraction form
    462.06/692.19 = 354.06/x
  3. Step 3: Cross multiply
    462.06x = 692.19 × 354.06
  4. Step 4: Simplify right side
    462.06x = 245,076.79
  5. Step 5: Solve for x
    x = 245,076.79/462.06
  6. Step 6: Final answer
    x = 530.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.