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Finding the Fourth Proportional to 407.65, 561.57 and 383.35

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Solution

The fourth proportional to 407.65, 561.57 and 383.35 is: 528.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.65 : 561.57 = 383.35 : x
  2. Step 2: Convert to fraction form
    407.65/561.57 = 383.35/x
  3. Step 3: Cross multiply
    407.65x = 561.57 × 383.35
  4. Step 4: Simplify right side
    407.65x = 215,277.86
  5. Step 5: Solve for x
    x = 215,277.86/407.65
  6. Step 6: Final answer
    x = 528.09

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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.