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Finding the Fourth Proportional to 592.34, 886.50 and 549.02

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Solution

The fourth proportional to 592.34, 886.50 and 549.02 is: 821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.34 : 886.50 = 549.02 : x
  2. Step 2: Convert to fraction form
    592.34/886.50 = 549.02/x
  3. Step 3: Cross multiply
    592.34x = 886.50 × 549.02
  4. Step 4: Simplify right side
    592.34x = 486,706.23
  5. Step 5: Solve for x
    x = 486,706.23/592.34
  6. Step 6: Final answer
    x = 821.67

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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.