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Finding the Fourth Proportional to 501.19, 690.88 and 430.87

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Solution

The fourth proportional to 501.19, 690.88 and 430.87 is: 593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.19 : 690.88 = 430.87 : x
  2. Step 2: Convert to fraction form
    501.19/690.88 = 430.87/x
  3. Step 3: Cross multiply
    501.19x = 690.88 × 430.87
  4. Step 4: Simplify right side
    501.19x = 297,678.76
  5. Step 5: Solve for x
    x = 297,678.76/501.19
  6. Step 6: Final answer
    x = 593.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.