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Finding the Fourth Proportional to 715.19, 1,073.00 and 368.77

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Solution

The fourth proportional to 715.19, 1,073.00 and 368.77 is: 553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.19 : 1,073.00 = 368.77 : x
  2. Step 2: Convert to fraction form
    715.19/1,073.00 = 368.77/x
  3. Step 3: Cross multiply
    715.19x = 1,073.00 × 368.77
  4. Step 4: Simplify right side
    715.19x = 395,690.65
  5. Step 5: Solve for x
    x = 395,690.65/715.19
  6. Step 6: Final answer
    x = 553.27

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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.