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Finding the Fourth Proportional to 432.78, 648.33 and 384.18

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Solution

The fourth proportional to 432.78, 648.33 and 384.18 is: 575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.78 : 648.33 = 384.18 : x
  2. Step 2: Convert to fraction form
    432.78/648.33 = 384.18/x
  3. Step 3: Cross multiply
    432.78x = 648.33 × 384.18
  4. Step 4: Simplify right side
    432.78x = 249,075.42
  5. Step 5: Solve for x
    x = 249,075.42/432.78
  6. Step 6: Final answer
    x = 575.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.