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Finding the Fourth Proportional to 665.94, 918.96 and 417.30

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Solution

The fourth proportional to 665.94, 918.96 and 417.30 is: 575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.94 : 918.96 = 417.30 : x
  2. Step 2: Convert to fraction form
    665.94/918.96 = 417.30/x
  3. Step 3: Cross multiply
    665.94x = 918.96 × 417.30
  4. Step 4: Simplify right side
    665.94x = 383,482.01
  5. Step 5: Solve for x
    x = 383,482.01/665.94
  6. Step 6: Final answer
    x = 575.85

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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.