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Finding the Fourth Proportional to 595.15, 891.91 and 448.77

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Solution

The fourth proportional to 595.15, 891.91 and 448.77 is: 672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.15 : 891.91 = 448.77 : x
  2. Step 2: Convert to fraction form
    595.15/891.91 = 448.77/x
  3. Step 3: Cross multiply
    595.15x = 891.91 × 448.77
  4. Step 4: Simplify right side
    595.15x = 400,263.76
  5. Step 5: Solve for x
    x = 400,263.76/595.15
  6. Step 6: Final answer
    x = 672.55

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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.