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Finding the Fourth Proportional to 437.40, 652.41 and 407.16

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Solution

The fourth proportional to 437.40, 652.41 and 407.16 is: 607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.40 : 652.41 = 407.16 : x
  2. Step 2: Convert to fraction form
    437.40/652.41 = 407.16/x
  3. Step 3: Cross multiply
    437.40x = 652.41 × 407.16
  4. Step 4: Simplify right side
    437.40x = 265,635.26
  5. Step 5: Solve for x
    x = 265,635.26/437.40
  6. Step 6: Final answer
    x = 607.31

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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.