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Finding the Fourth Proportional to 1,302.42, 1,953.70 and 328.53

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Solution

The fourth proportional to 1,302.42, 1,953.70 and 328.53 is: 492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.42 : 1,953.70 = 328.53 : x
  2. Step 2: Convert to fraction form
    1,302.42/1,953.70 = 328.53/x
  3. Step 3: Cross multiply
    1,302.42x = 1,953.70 × 328.53
  4. Step 4: Simplify right side
    1,302.42x = 641,848.24
  5. Step 5: Solve for x
    x = 641,848.24/1,302.42
  6. Step 6: Final answer
    x = 492.81

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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.