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Finding the Fourth Proportional to 432.65, 595.67 and 385.16

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Solution

The fourth proportional to 432.65, 595.67 and 385.16 is: 530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.65 : 595.67 = 385.16 : x
  2. Step 2: Convert to fraction form
    432.65/595.67 = 385.16/x
  3. Step 3: Cross multiply
    432.65x = 595.67 × 385.16
  4. Step 4: Simplify right side
    432.65x = 229,430.71
  5. Step 5: Solve for x
    x = 229,430.71/432.65
  6. Step 6: Final answer
    x = 530.29

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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.