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Finding the Fourth Proportional to 430.10, 594.17 and 368.57

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Solution

The fourth proportional to 430.10, 594.17 and 368.57 is: 509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.10 : 594.17 = 368.57 : x
  2. Step 2: Convert to fraction form
    430.10/594.17 = 368.57/x
  3. Step 3: Cross multiply
    430.10x = 594.17 × 368.57
  4. Step 4: Simplify right side
    430.10x = 218,988.42
  5. Step 5: Solve for x
    x = 218,988.42/430.10
  6. Step 6: Final answer
    x = 509.16

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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.