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Finding the Fourth Proportional to 417.68, 623.56 and 352.88

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Solution

The fourth proportional to 417.68, 623.56 and 352.88 is: 526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.68 : 623.56 = 352.88 : x
  2. Step 2: Convert to fraction form
    417.68/623.56 = 352.88/x
  3. Step 3: Cross multiply
    417.68x = 623.56 × 352.88
  4. Step 4: Simplify right side
    417.68x = 220,041.85
  5. Step 5: Solve for x
    x = 220,041.85/417.68
  6. Step 6: Final answer
    x = 526.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.