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Finding the Fourth Proportional to 458.35, 632.50 and 278.98

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Solution

The fourth proportional to 458.35, 632.50 and 278.98 is: 384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.35 : 632.50 = 278.98 : x
  2. Step 2: Convert to fraction form
    458.35/632.50 = 278.98/x
  3. Step 3: Cross multiply
    458.35x = 632.50 × 278.98
  4. Step 4: Simplify right side
    458.35x = 176,454.85
  5. Step 5: Solve for x
    x = 176,454.85/458.35
  6. Step 6: Final answer
    x = 384.98

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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.