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Finding the Fourth Proportional to 437.18, 652.56 and 382.50

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Solution

The fourth proportional to 437.18, 652.56 and 382.50 is: 570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.18 : 652.56 = 382.50 : x
  2. Step 2: Convert to fraction form
    437.18/652.56 = 382.50/x
  3. Step 3: Cross multiply
    437.18x = 652.56 × 382.50
  4. Step 4: Simplify right side
    437.18x = 249,602.77
  5. Step 5: Solve for x
    x = 249,602.77/437.18
  6. Step 6: Final answer
    x = 570.94

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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.