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Finding the Fourth Proportional to 417.05, 623.75 and 340.50

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Solution

The fourth proportional to 417.05, 623.75 and 340.50 is: 509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.05 : 623.75 = 340.50 : x
  2. Step 2: Convert to fraction form
    417.05/623.75 = 340.50/x
  3. Step 3: Cross multiply
    417.05x = 623.75 × 340.50
  4. Step 4: Simplify right side
    417.05x = 212,385.17
  5. Step 5: Solve for x
    x = 212,385.17/417.05
  6. Step 6: Final answer
    x = 509.26

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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.