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Finding the Fourth Proportional to 895.04, 1,342.72 and 382.40

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Solution

The fourth proportional to 895.04, 1,342.72 and 382.40 is: 573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.04 : 1,342.72 = 382.40 : x
  2. Step 2: Convert to fraction form
    895.04/1,342.72 = 382.40/x
  3. Step 3: Cross multiply
    895.04x = 1,342.72 × 382.40
  4. Step 4: Simplify right side
    895.04x = 513,456.13
  5. Step 5: Solve for x
    x = 513,456.13/895.04
  6. Step 6: Final answer
    x = 573.67

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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.