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Finding the Fourth Proportional to 430, 592.80 and 282.58

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Solution

The fourth proportional to 430, 592.80 and 282.58 is: 389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    430 : 592.80 = 282.58 : x
  2. Step 2: Convert to fraction form
    430/592.80 = 282.58/x
  3. Step 3: Cross multiply
    430x = 592.80 × 282.58
  4. Step 4: Simplify right side
    430x = 167,513.42
  5. Step 5: Solve for x
    x = 167,513.42/430
  6. Step 6: Final answer
    x = 389.57

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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.