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Finding the Fourth Proportional to 670.16, 924.50 and 417.88

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Solution

The fourth proportional to 670.16, 924.50 and 417.88 is: 576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.16 : 924.50 = 417.88 : x
  2. Step 2: Convert to fraction form
    670.16/924.50 = 417.88/x
  3. Step 3: Cross multiply
    670.16x = 924.50 × 417.88
  4. Step 4: Simplify right side
    670.16x = 386,325.44
  5. Step 5: Solve for x
    x = 386,325.44/670.16
  6. Step 6: Final answer
    x = 576.47

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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.