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Finding the Fourth Proportional to 417.04, 624.60 and 397.84

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Solution

The fourth proportional to 417.04, 624.60 and 397.84 is: 595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.04 : 624.60 = 397.84 : x
  2. Step 2: Convert to fraction form
    417.04/624.60 = 397.84/x
  3. Step 3: Cross multiply
    417.04x = 624.60 × 397.84
  4. Step 4: Simplify right side
    417.04x = 248,490.86
  5. Step 5: Solve for x
    x = 248,490.86/417.04
  6. Step 6: Final answer
    x = 595.84

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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.