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Finding the Fourth Proportional to 589.80, 885.36 and 373.50

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Solution

The fourth proportional to 589.80, 885.36 and 373.50 is: 560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.80 : 885.36 = 373.50 : x
  2. Step 2: Convert to fraction form
    589.80/885.36 = 373.50/x
  3. Step 3: Cross multiply
    589.80x = 885.36 × 373.50
  4. Step 4: Simplify right side
    589.80x = 330,681.96
  5. Step 5: Solve for x
    x = 330,681.96/589.80
  6. Step 6: Final answer
    x = 560.67

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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.