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Finding the Fourth Proportional to 672.50, 928.06 and 410.46

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Solution

The fourth proportional to 672.50, 928.06 and 410.46 is: 566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.50 : 928.06 = 410.46 : x
  2. Step 2: Convert to fraction form
    672.50/928.06 = 410.46/x
  3. Step 3: Cross multiply
    672.50x = 928.06 × 410.46
  4. Step 4: Simplify right side
    672.50x = 380,931.51
  5. Step 5: Solve for x
    x = 380,931.51/672.50
  6. Step 6: Final answer
    x = 566.44

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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.