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Finding the Fourth Proportional to 364.73, 503.51 and 260.04

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Solution

The fourth proportional to 364.73, 503.51 and 260.04 is: 358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.73 : 503.51 = 260.04 : x
  2. Step 2: Convert to fraction form
    364.73/503.51 = 260.04/x
  3. Step 3: Cross multiply
    364.73x = 503.51 × 260.04
  4. Step 4: Simplify right side
    364.73x = 130,931.44
  5. Step 5: Solve for x
    x = 130,931.44/364.73
  6. Step 6: Final answer
    x = 358.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.